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145123704 = 233311103593
BaseRepresentation
bin10001010011001…
…10100101111000
3101010002001022000
420221212211320
5244122424304
622222301000
73411350115
oct1051464570
9333061260
10145123704
1174a11650
1240727760
13240b251b
14153b990c
15cb19939
hex8a66978

145123704 has 128 divisors (see below), whose sum is σ = 444787200. Its totient is φ = 43476480.

The previous prime is 145123703. The next prime is 145123709. The reversal of 145123704 is 407321541.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145123703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244432 + ... + 245024.

It is an arithmetic number, because the mean of its divisors is an integer number (3474900).

Almost surely, 2145123704 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 145123704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222393600).

145123704 is an abundant number, since it is smaller than the sum of its proper divisors (299663496).

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

145123704 is a wasteful number, since it uses less digits than its factorization.

145123704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 145123704 is about 12046.7300127462. The cubic root of 145123704 is about 525.5081447454.

The spelling of 145123704 in words is "one hundred forty-five million, one hundred twenty-three thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 103 108 132 198 206 216 264 297 309 396 412 593 594 618 792 824 927 1133 1186 1188 1236 1779 1854 2266 2372 2376 2472 2781 3399 3558 3708 4532 4744 5337 5562 6523 6798 7116 7416 9064 10197 10674 11124 13046 13596 14232 16011 19569 20394 21348 22248 26092 27192 30591 32022 39138 40788 42696 52184 58707 61079 61182 64044 78276 81576 117414 122158 122364 128088 156552 176121 183237 234828 244316 244728 352242 366474 469656 488632 549711 671869 704484 732948 1099422 1343738 1408968 1465896 1649133 2015607 2198844 2687476 3298266 4031214 4397688 5374952 6046821 6596532 8062428 12093642 13193064 16124856 18140463 24187284 36280926 48374568 72561852 145123704