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161557440 = 26351115299
BaseRepresentation
bin10011010000100…
…10101111000000
3102020222222010220
421220102233000
5312324314230
624010423040
74001133642
oct1150225700
9366888126
10161557440
1183216550
1246131a80
1327617625
1417656892
15e2b3d10
hex9a12bc0

161557440 has 112 divisors (see below), whose sum is σ = 559612800. Its totient is φ = 39162880.

The previous prime is 161557433. The next prime is 161557441. The reversal of 161557440 is 44755161.

It is a super-2 number, since 2×1615574402 = 52201612838707200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161557441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2911 + ... + 18209.

Almost surely, 2161557440 is an apocalyptic number.

161557440 is a gapful number since it is divisible by the number (10) 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 161557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279806400).

161557440 is an abundant number, since it is smaller than the sum of its proper divisors (398055360).

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

161557440 is a wasteful number, since it uses less digits than its factorization.

161557440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15330 (or 15320 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 161557440 is about 12710.5247728015. The cubic root of 161557440 is about 544.6393146968.

The spelling of 161557440 in words is "one hundred sixty-one million, five hundred fifty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 15299 30598 45897 61196 76495 91794 122392 152990 168289 183588 229485 244784 305980 336578 367176 458970 489568 504867 611960 673156 734352 841445 917940 979136 1009734 1223920 1346312 1468704 1682890 1835880 2019468 2447840 2524335 2692624 2937408 3365780 3671760 4038936 4895680 5048670 5385248 6731560 7343520 8077872 10097340 10770496 13463120 14687040 16155744 20194680 26926240 32311488 40389360 53852480 80778720 161557440