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145936406 = 27211231397
BaseRepresentation
bin10001011001011…
…01000000010110
3101011121100010002
420230231000112
5244324431111
622251531302
73421303400
oct1054550026
9334540102
10145936406
1175417200
1240a59b32
1324308405
141554bb70
15cc2a63b
hex8b2d016

145936406 has 72 divisors (see below), whose sum is σ = 289654848. Its totient is φ = 54885600.

The previous prime is 145936393. The next prime is 145936421. The reversal of 145936406 is 604639541.

It is a self number, because there is not a number n which added to its sum of digits gives 145936406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 367400 + ... + 367796.

It is an arithmetic number, because the mean of its divisors is an integer number (4022984).

Almost surely, 2145936406 is an apocalyptic number.

145936406 is a deficient number, since it is larger than the sum of its proper divisors (143718442).

145936406 is a wasteful number, since it uses less digits than its factorization.

145936406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 145936406 is about 12080.4141485298. The cubic root of 145936406 is about 526.4872789866.

The spelling of 145936406 in words is "one hundred forty-five million, nine hundred thirty-six thousand, four hundred six".

Divisors: 1 2 7 11 14 22 31 49 62 77 98 121 154 217 242 341 397 434 539 682 794 847 1078 1519 1694 2387 2779 3038 3751 4367 4774 5558 5929 7502 8734 11858 12307 16709 19453 24614 26257 30569 33418 38906 48037 52514 61138 86149 96074 135377 172298 183799 213983 270754 336259 367598 427966 603043 672518 947639 1206086 1489147 1895278 2353813 2978294 4707626 6633473 10424029 13266946 20848058 72968203 145936406