Search a number
-
+
152216160 = 2535337941
BaseRepresentation
bin10010001001010…
…10001001100000
3101121102101022120
421010222021200
5302431404120
623034304240
73525546615
oct1104521140
9347371276
10152216160
1178a16288
1242b88080
13256c6845
141630450c
15d56b140
hex912a260

152216160 has 96 divisors (see below), whose sum is σ = 481414752. Its totient is φ = 40427520.

The previous prime is 152216153. The next prime is 152216171. The reversal of 152216160 is 61612251.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 152216160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161290 + ... + 162230.

It is an arithmetic number, because the mean of its divisors is an integer number (5014737).

Almost surely, 2152216160 is an apocalyptic number.

152216160 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 152216160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240707376).

152216160 is an abundant number, since it is smaller than the sum of its proper divisors (329198592).

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

152216160 is a wasteful number, since it uses less digits than its factorization.

152216160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 152216160 is about 12337.5913370479. The cubic root of 152216160 is about 533.9331931181.

The spelling of 152216160 in words is "one hundred fifty-two million, two hundred sixteen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 337 480 674 941 1011 1348 1685 1882 2022 2696 2823 3370 3764 4044 4705 5055 5392 5646 6740 7528 8088 9410 10110 10784 11292 13480 14115 15056 16176 18820 20220 22584 26960 28230 30112 32352 37640 40440 45168 53920 56460 75280 80880 90336 112920 150560 161760 225840 317117 451680 634234 951351 1268468 1585585 1902702 2536936 3171170 3805404 4756755 5073872 6342340 7610808 9513510 10147744 12684680 15221616 19027020 25369360 30443232 38054040 50738720 76108080 152216160