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161052936 = 233112311789
BaseRepresentation
bin10011001100101…
…11100100001000
3102020001100002120
421212113210020
5312212143221
623551531240
73663633042
oct1146274410
9366040076
10161052936
1182a01500
1245b29b20
132749bac5
1417564a92
15e2145c6
hex9997908

161052936 has 96 divisors (see below), whose sum is σ = 457094400. Its totient is φ = 47203200.

The previous prime is 161052907. The next prime is 161052943. The reversal of 161052936 is 639250161.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 161052897 and 161052906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89130 + ... + 90918.

It is an arithmetic number, because the mean of its divisors is an integer number (4761400).

Almost surely, 2161052936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161052936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228547200).

161052936 is an abundant number, since it is smaller than the sum of its proper divisors (296041464).

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

161052936 is a wasteful number, since it uses less digits than its factorization.

161052936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 161052936 is about 12690.6633396367. The cubic root of 161052936 is about 544.0717988423.

The spelling of 161052936 in words is "one hundred sixty-one million, fifty-two thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 121 124 132 186 242 248 264 341 363 372 484 682 726 744 968 1023 1364 1452 1789 2046 2728 2904 3578 3751 4092 5367 7156 7502 8184 10734 11253 14312 15004 19679 21468 22506 30008 39358 42936 45012 55459 59037 78716 90024 110918 118074 157432 166377 216469 221836 236148 332754 432938 443672 472296 610049 649407 665508 865876 1220098 1298814 1331016 1731752 1830147 2440196 2597628 3660294 4880392 5195256 6710539 7320588 13421078 14641176 20131617 26842156 40263234 53684312 80526468 161052936