Search a number
-
+
1480042368 = 2734720393
BaseRepresentation
bin101100000110111…
…1010011110000000
310211010221221110000
41120031322132000
511012342323433
6402510240000
751451103220
oct13015723600
93733857400
101480042368
1169a499812
123537b6000
131a782521c
141007ca080
1589e06113
hex5837a780

1480042368 has 160 divisors (see below), whose sum is σ = 5034054960. Its totient is φ = 422848512.

The previous prime is 1480042351. The next prime is 1480042427. The reversal of 1480042368 is 8632400841.

It is a super-2 number, since 2×14800423682 = 4381050822150094848, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62380 + ... + 82772.

Almost surely, 21480042368 is an apocalyptic number.

1480042368 is a gapful number since it is divisible by the number (18) 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 1480042368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517027480).

1480042368 is an abundant number, since it is smaller than the sum of its proper divisors (3554012592).

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

1480042368 is an equidigital number, since it uses as much as digits as its factorization.

1480042368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20426 (or 20405 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1480042368 is about 38471.3187712613. The cubic root of 1480042368 is about 1139.6147174473.

The spelling of 1480042368 in words is "one billion, four hundred eighty million, forty-two thousand, three hundred sixty-eight".

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 20393 24192 36288 40786 61179 72576 81572 122358 142751 163144 183537 244716 285502 326288 367074 428253 489432 550611 571004 652576 734148 856506 978864 1101222 1142008 1284759 1305152 1468296 1651833 1713012 1957728 2202444 2284016 2569518 2610304 2936592 3303666 3426024 3854277 3915456 4404888 4568032 5139036 5873184 6607332 6852048 7708554 7830912 8809776 9136064 10278072 11562831 11746368 13214664 13704096 15417108 17619552 18272128 20556144 23125662 23492736 26429328 27408192 30834216 35239104 41112288 46251324 52858656 54816384 61668432 70478208 82224576 92502648 105717312 123336864 164449152 185005296 211434624 246673728 370010592 493347456 740021184 1480042368