Search a number
-
+
145958912 = 2111121931
BaseRepresentation
bin10001011001100…
…10100000000000
3101011122110222122
420230302200000
5244331141122
622252223412
73421426121
oct1054624000
9334573878
10145958912
1175432100
1240a6ab68
1324315728
1415556048
15cc32142
hex8b32800

145958912 has 144 divisors (see below), whose sum is σ = 348566400. Its totient is φ = 60825600.

The previous prime is 145958867. The next prime is 145958921. The reversal of 145958912 is 219859541.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4708337 + ... + 4708367.

It is an arithmetic number, because the mean of its divisors is an integer number (2420600).

Almost surely, 2145958912 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 145958912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174283200).

145958912 is an abundant number, since it is smaller than the sum of its proper divisors (202607488).

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

145958912 is a wasteful number, since it uses less digits than its factorization.

145958912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 63 counting only the distinct ones).

The product of its digits is 129600, while the sum is 44.

The square root of 145958912 is about 12081.3456204183. The cubic root of 145958912 is about 526.5143421757.

The spelling of 145958912 in words is "one hundred forty-five million, nine hundred fifty-eight thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 31 32 38 44 62 64 76 88 121 124 128 152 176 209 242 248 256 304 341 352 418 484 496 512 589 608 682 704 836 968 992 1024 1178 1216 1364 1408 1672 1936 1984 2048 2299 2356 2432 2728 2816 3344 3751 3872 3968 4598 4712 4864 5456 5632 6479 6688 7502 7744 7936 9196 9424 9728 10912 11264 12958 13376 15004 15488 15872 18392 18848 19456 21824 22528 25916 26752 30008 30976 31744 36784 37696 38912 43648 51832 53504 60016 61952 63488 71269 73568 75392 87296 103664 107008 120032 123904 142538 147136 150784 174592 207328 214016 240064 247808 285076 294272 301568 349184 414656 428032 480128 570152 588544 603136 698368 829312 960256 1140304 1177088 1206272 1658624 1920512 2280608 2354176 3317248 3841024 4561216 4708352 6634496 7682048 9122432 13268992 18244864 36489728 72979456 145958912