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130154496 = 2173331
BaseRepresentation
bin1111100001000…
…00000000000000
3100001220112101220
413300200000000
5231304420441
620525355040
73140203113
oct760400000
9301815356
10130154496
1167517aaa
1237708a80
1320c70bc4
141340057a
15b65e466
hex7c20000

130154496 has 72 divisors (see below), whose sum is σ = 348125904. Its totient is φ = 43253760.

The previous prime is 130154483. The next prime is 130154509. The reversal of 130154496 is 694451031.

It is an interprime number because it is at equal distance from previous prime (130154483) and next prime (130154509).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 393051 + ... + 393381.

It is an arithmetic number, because the mean of its divisors is an integer number (4835082).

Almost surely, 2130154496 is an apocalyptic number.

130154496 is a gapful number since it is divisible by the number (16) 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 130154496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174062952).

130154496 is an abundant number, since it is smaller than the sum of its proper divisors (217971408).

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

130154496 is an frugal number, since it uses more digits than its factorization.

130154496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 130154496 is about 11408.5273370405. The cubic root of 130154496 is about 506.7803007667.

The spelling of 130154496 in words is "one hundred thirty million, one hundred fifty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 331 384 512 662 768 993 1024 1324 1536 1986 2048 2648 3072 3972 4096 5296 6144 7944 8192 10592 12288 15888 16384 21184 24576 31776 32768 42368 49152 63552 65536 84736 98304 127104 131072 169472 196608 254208 338944 393216 508416 677888 1016832 1355776 2033664 2711552 4067328 5423104 8134656 10846208 16269312 21692416 32538624 43384832 65077248 130154496