Search a number
-
+
155166880 = 25511131673
BaseRepresentation
bin10010011111110…
…10100010100000
3101210222021221111
421033322202200
5304210320010
623221433104
73562616401
oct1117724240
9353867844
10155166880
117a6511a0
1243b6b794
13261ba92b
14168719a8
15d95058a
hex93fa8a0

155166880 has 96 divisors (see below), whose sum is σ = 403558848. Its totient is φ = 55910400.

The previous prime is 155166857. The next prime is 155166883. The reversal of 155166880 is 88661551.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (155166883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230224 + ... + 230896.

It is an arithmetic number, because the mean of its divisors is an integer number (4203738).

Almost surely, 2155166880 is an apocalyptic number.

155166880 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 155166880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201779424).

155166880 is an abundant number, since it is smaller than the sum of its proper divisors (248391968).

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

155166880 is a wasteful number, since it uses less digits than its factorization.

155166880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 40.

The square root of 155166880 is about 12456.5998571039. The cubic root of 155166880 is about 537.3612463188.

The spelling of 155166880 in words is "one hundred fifty-five million, one hundred sixty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 131 160 176 220 262 352 440 524 655 673 880 1048 1310 1346 1441 1760 2096 2620 2692 2882 3365 4192 5240 5384 5764 6730 7205 7403 10480 10768 11528 13460 14410 14806 20960 21536 23056 26920 28820 29612 37015 46112 53840 57640 59224 74030 88163 107680 115280 118448 148060 176326 230560 236896 296120 352652 440815 592240 705304 881630 969793 1184480 1410608 1763260 1939586 2821216 3526520 3879172 4848965 7053040 7758344 9697930 14106080 15516688 19395860 31033376 38791720 77583440 155166880