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146070912 = 27313291009
BaseRepresentation
bin10001011010011…
…01110110000000
3101011212011121210
420231031312000
5244343232122
622254450120
73422403501
oct1055156600
9334764553
10146070912
11754a9269
1240b03940
13243546c0
1415584ba8
15cc5540c
hex8b4dd80

146070912 has 128 divisors (see below), whose sum is σ = 432684000. Its totient is φ = 43352064.

The previous prime is 146070893. The next prime is 146070929. The reversal of 146070912 is 219070641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1460709122 = 42673422665023488, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 146070912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144264 + ... + 145272.

Almost surely, 2146070912 is an apocalyptic number.

146070912 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 146070912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216342000).

146070912 is an abundant number, since it is smaller than the sum of its proper divisors (286613088).

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

146070912 is a wasteful number, since it uses less digits than its factorization.

146070912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 146070912 is about 12085.9799768161. The cubic root of 146070912 is about 526.6489794484.

The spelling of 146070912 in words is "one hundred forty-six million, seventy thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 64 78 87 96 104 116 128 156 174 192 208 232 312 348 377 384 416 464 624 696 754 832 928 1009 1131 1248 1392 1508 1664 1856 2018 2262 2496 2784 3016 3027 3712 4036 4524 4992 5568 6032 6054 8072 9048 11136 12064 12108 13117 16144 18096 24128 24216 26234 29261 32288 36192 39351 48256 48432 52468 58522 64576 72384 78702 87783 96864 104936 117044 129152 144768 157404 175566 193728 209872 234088 314808 351132 380393 387456 419744 468176 629616 702264 760786 839488 936352 1141179 1259232 1404528 1521572 1678976 1872704 2282358 2518464 2809056 3043144 3745408 4564716 5036928 5618112 6086288 9129432 11236224 12172576 18258864 24345152 36517728 48690304 73035456 146070912