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145936854 = 23275967293
BaseRepresentation
bin10001011001011…
…01000111010110
3101011121100201200
420230231013112
5244324434404
622251533330
73421304610
oct1054550726
9334540650
10145936854
1175417578
1240a5a246
132430868b
141554bdb0
15cc2a839
hex8b2d1d6

145936854 has 96 divisors (see below), whose sum is σ = 374250240. Its totient is φ = 40239936.

The previous prime is 145936841. The next prime is 145936873. The reversal of 145936854 is 458639541.

145936854 is a `hidden beast` number, since 1 + 4 + 593 + 6 + 8 + 54 = 666.

145936854 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 497932 + ... + 498224.

It is an arithmetic number, because the mean of its divisors is an integer number (3898440).

Almost surely, 2145936854 is an apocalyptic number.

145936854 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145936854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187125120).

145936854 is an abundant number, since it is smaller than the sum of its proper divisors (228313386).

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

145936854 is a wasteful number, since it uses less digits than its factorization.

145936854 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 431 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 145936854 is about 12080.4326909263. The cubic root of 145936854 is about 526.4878177283.

The spelling of 145936854 in words is "one hundred forty-five million, nine hundred thirty-six thousand, eight hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 59 63 67 118 126 134 177 201 293 354 402 413 469 531 586 603 826 879 938 1062 1206 1239 1407 1758 2051 2478 2637 2814 3717 3953 4102 4221 5274 6153 7434 7906 8442 11859 12306 17287 18459 19631 23718 27671 34574 35577 36918 39262 51861 55342 58893 71154 83013 103722 117786 121009 137417 155583 166026 176679 242018 249039 274834 311166 353358 363027 412251 498078 726054 824502 1089081 1158229 1236753 2178162 2316458 2473506 3474687 6949374 8107603 10424061 16215206 20848122 24322809 48645618 72968427 145936854