Search a number
-
+
1481058432 = 2734720407
BaseRepresentation
bin101100001000111…
…0010100010000000
310211012212120020000
41120101302202000
511013122332212
6402544120000
751462534420
oct13021624200
93735776200
101481058432
116a0023137
12354006000
131a7abc849
141009b2480
158a0571dc
hex58472880

1481058432 has 160 divisors (see below), whose sum is σ = 5037510720. Its totient is φ = 423138816.

The previous prime is 1481058431. The next prime is 1481058433. The reversal of 1481058432 is 2348501841.

1481058432 is a `hidden beast` number, since 1 + 48 + 1 + 0 + 584 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (1481058431) and next prime (1481058433).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1481058431) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62373 + ... + 82779.

It is an arithmetic number, because the mean of its divisors is an integer number (31484442).

Almost surely, 21481058432 is an apocalyptic number.

1481058432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1481058432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518755360).

1481058432 is an abundant number, since it is smaller than the sum of its proper divisors (3556452288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1481058432 is an equidigital number, since it uses as much as digits as its factorization.

1481058432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20440 (or 20419 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1481058432 is about 38484.5219796219. The cubic root of 1481058432 is about 1139.8754434551.

The spelling of 1481058432 in words is "one billion, four hundred eighty-one million, fifty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1728 2016 2268 2592 2688 3024 3456 4032 4536 5184 6048 8064 9072 10368 12096 18144 20407 24192 36288 40814 61221 72576 81628 122442 142849 163256 183663 244884 285698 326512 367326 428547 489768 550989 571396 653024 734652 857094 979536 1101978 1142792 1285641 1306048 1469304 1652967 1714188 1959072 2203956 2285584 2571282 2612096 2938608 3305934 3428376 3856923 3918144 4407912 4571168 5142564 5877216 6611868 6856752 7713846 7836288 8815824 9142336 10285128 11570769 11754432 13223736 13713504 15427692 17631648 18284672 20570256 23141538 23508864 26447472 27427008 30855384 35263296 41140512 46283076 52894944 54854016 61710768 70526592 82281024 92566152 105789888 123421536 164562048 185132304 211579776 246843072 370264608 493686144 740529216 1481058432