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145955004 = 2231353127139
BaseRepresentation
bin10001011001100…
…01100010111100
3101011122021121220
420230301202330
5244331030004
622252153340
73421411536
oct1054614274
9334567556
10145955004
117542a178
1240a68850
1324313a10
1415554856
15cc30dd9
hex8b318bc

145955004 has 96 divisors (see below), whose sum is σ = 379330560. Its totient is φ = 43400448.

The previous prime is 145955003. The next prime is 145955009. The reversal of 145955004 is 400559541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145955003) 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, 1049967 + ... + 1050105.

It is an arithmetic number, because the mean of its divisors is an integer number (3951360).

Almost surely, 2145955004 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 145955004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189665280).

145955004 is an abundant number, since it is smaller than the sum of its proper divisors (233375556).

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

145955004 is a wasteful number, since it uses less digits than its factorization.

145955004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 145955004 is about 12081.1838823850. The cubic root of 145955004 is about 526.5096430532.

The spelling of 145955004 in words is "one hundred forty-five million, nine hundred fifty-five thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 127 139 156 159 212 254 278 318 381 417 508 556 636 689 762 834 1378 1524 1651 1668 1807 2067 2756 3302 3614 4134 4953 5421 6604 6731 7228 7367 8268 9906 10842 13462 14734 17653 19812 20193 21684 22101 26924 29468 35306 40386 44202 52959 70612 80772 87503 88404 95771 105918 175006 191542 211836 229489 262509 287313 350012 383084 458978 525018 574626 688467 917956 935609 1050036 1149252 1376934 1871218 2753868 2806827 3742436 5613654 11227308 12162917 24325834 36488751 48651668 72977502 145955004