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145960812 = 22331983857
BaseRepresentation
bin10001011001100…
…10111101101100
3101011122120121000
420230302331230
5244331221222
622252240300
73421434504
oct1054627554
9334576530
10145960812
1175433578
1240a70090
132431655a
1415556a04
15cc329ac
hex8b32f6c

145960812 has 96 divisors (see below), whose sum is σ = 403603200. Its totient is φ = 45484416.

The previous prime is 145960807. The next prime is 145960823. The reversal of 145960812 is 218069541.

145960812 is a `hidden beast` number, since 1 + 45 + 9 + 608 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169888 + ... + 170744.

It is an arithmetic number, because the mean of its divisors is an integer number (4204200).

Almost surely, 2145960812 is an apocalyptic number.

145960812 is a gapful number since it is divisible by the number (12) 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 145960812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201801600).

145960812 is an abundant number, since it is smaller than the sum of its proper divisors (257642388).

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

145960812 is a wasteful number, since it uses less digits than its factorization.

145960812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 145960812 is about 12081.4242537873. The cubic root of 145960812 is about 526.5166267750.

The spelling of 145960812 in words is "one hundred forty-five million, nine hundred sixty thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 83 108 114 166 171 228 249 332 342 498 513 684 747 857 996 1026 1494 1577 1714 2052 2241 2571 2988 3154 3428 4482 4731 5142 6308 7713 8964 9462 10284 14193 15426 16283 18924 23139 28386 30852 32566 42579 46278 48849 56772 65132 71131 85158 92556 97698 142262 146547 170316 195396 213393 284524 293094 426786 439641 586188 640179 853572 879282 1280358 1351489 1758564 1920537 2560716 2702978 3841074 4054467 5405956 7682148 8108934 12163401 16217868 24326802 36490203 48653604 72980406 145960812