Search a number
-
+
155145978 = 232131743907
BaseRepresentation
bin10010011111101…
…01011011111010
3101210221020021100
421033311123322
5304204132403
623221152230
73562501431
oct1117653372
9353836240
10155145978
117a637519
1243b5b676
13261b1270
1416868118
15d9492a3
hex93f56fa

155145978 has 96 divisors (see below), whose sum is σ = 392648256. Its totient is φ = 43835904.

The previous prime is 155145973. The next prime is 155145983. The reversal of 155145978 is 879541551.

155145978 is a `hidden beast` number, since 1 + 5 + 51 + 4 + 597 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (155145973) and next prime (155145983).

It is not an unprimeable number, because it can be changed into a prime (155145973) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170601 + ... + 171507.

It is an arithmetic number, because the mean of its divisors is an integer number (4090086).

Almost surely, 2155145978 is an apocalyptic number.

155145978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 155145978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196324128).

155145978 is an abundant number, since it is smaller than the sum of its proper divisors (237502278).

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

155145978 is a wasteful number, since it uses less digits than its factorization.

155145978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 985 counting only the distinct ones).

The product of its digits is 252000, while the sum is 45.

The square root of 155145978 is about 12455.7608358542. The cubic root of 155145978 is about 537.3371165364.

The spelling of 155145978 in words is "one hundred fifty-five million, one hundred forty-five thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 43 51 78 86 102 117 129 153 221 234 258 306 387 442 559 663 731 774 907 1118 1326 1462 1677 1814 1989 2193 2721 3354 3978 4386 5031 5442 6579 8163 9503 10062 11791 13158 15419 16326 19006 23582 28509 30838 35373 39001 46257 57018 70746 78002 85527 92514 106119 117003 138771 171054 200447 212238 234006 277542 351009 400894 507013 601341 663017 702018 1014026 1202682 1326034 1521039 1804023 1989051 3042078 3608046 3978102 4563117 5967153 8619221 9126234 11934306 17238442 25857663 51715326 77572989 155145978