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130940928 = 2173337
BaseRepresentation
bin1111100111000…
…00000000000000
3100010101111012000
413303200000000
5232010102203
620554304000
73146656656
oct763400000
9303344160
10130940928
1167a04948
1237a28000
1321187b51
1413566dd6
15b7674a3
hex7ce0000

130940928 has 144 divisors (see below), whose sum is σ = 398457360. Its totient is φ = 42467328.

The previous prime is 130940911. The next prime is 130940933. The reversal of 130940928 is 829049031.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 130940892 and 130940901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3538926 + ... + 3538962.

It is an arithmetic number, because the mean of its divisors is an integer number (2767065).

Almost surely, 2130940928 is an apocalyptic number.

130940928 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 130940928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199228680).

130940928 is an abundant number, since it is smaller than the sum of its proper divisors (267516432).

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

130940928 is an frugal number, since it uses more digits than its factorization.

130940928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 130940928 is about 11442.9422789770. The cubic root of 130940928 is about 507.7989573786.

Adding to 130940928 its reverse (829049031), we get a palindrome (959989959).

The spelling of 130940928 in words is "one hundred thirty million, nine hundred forty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 192 216 222 256 288 296 333 384 432 444 512 576 592 666 768 864 888 999 1024 1152 1184 1332 1536 1728 1776 1998 2048 2304 2368 2664 3072 3456 3552 3996 4096 4608 4736 5328 6144 6912 7104 7992 8192 9216 9472 10656 12288 13824 14208 15984 16384 18432 18944 21312 24576 27648 28416 31968 32768 36864 37888 42624 49152 55296 56832 63936 65536 73728 75776 85248 98304 110592 113664 127872 131072 147456 151552 170496 196608 221184 227328 255744 294912 303104 340992 393216 442368 454656 511488 589824 606208 681984 884736 909312 1022976 1179648 1212416 1363968 1769472 1818624 2045952 2424832 2727936 3538944 3637248 4091904 4849664 5455872 7274496 8183808 10911744 14548992 16367616 21823488 32735232 43646976 65470464 130940928