Search a number
-
+
155148696 = 233637719
BaseRepresentation
bin10010011111101…
…10000110011000
3101210221101000000
421033312012120
5304204224241
623221213000
73562512363
oct1117660630
9353841000
10155148696
117a63956a
1243b61160
13261b2581
14168690da
15d949eb6
hex93f6198

155148696 has 112 divisors (see below), whose sum is σ = 448567200. Its totient is φ = 50248512.

The previous prime is 155148691. The next prime is 155148713. The reversal of 155148696 is 696841551.

155148696 is a `hidden beast` number, since 1 + 551 + 4 + 8 + 6 + 96 = 666.

155148696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1551486962 = 48142235741000832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155148691) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 215425 + ... + 216143.

Almost surely, 2155148696 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 155148696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224283600).

155148696 is an abundant number, since it is smaller than the sum of its proper divisors (293418504).

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

155148696 is an equidigital number, since it uses as much as digits as its factorization.

155148696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 761 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 155148696 is about 12455.8699415175. The cubic root of 155148696 is about 537.3402543850.

The spelling of 155148696 in words is "one hundred fifty-five million, one hundred forty-eight thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 243 296 324 333 444 486 648 666 719 729 888 972 999 1332 1438 1458 1944 1998 2157 2664 2876 2916 2997 3996 4314 5752 5832 5994 6471 7992 8628 8991 11988 12942 17256 17982 19413 23976 25884 26603 26973 35964 38826 51768 53206 53946 58239 71928 77652 79809 106412 107892 116478 155304 159618 174717 212824 215784 232956 239427 319236 349434 465912 478854 524151 638472 698868 718281 957708 1048302 1397736 1436562 1915416 2096604 2154843 2873124 4193208 4309686 5746248 6464529 8619372 12929058 17238744 19393587 25858116 38787174 51716232 77574348 155148696