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145603696 = 2472229811
BaseRepresentation
bin10001010110110…
…11110001110000
3101010222102201111
420223123301300
5244233304241
622240443104
73415416400
oct1053336160
9333872644
10145603696
117520a237
1240919494
132421cb44
14154a2800
15cbb1c81
hex8adbc70

145603696 has 60 divisors (see below), whose sum is σ = 330004920. Its totient is φ = 62052480.

The previous prime is 145603687. The next prime is 145603739. The reversal of 145603696 is 696306541.

145603696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179131 + ... + 179941.

It is an arithmetic number, because the mean of its divisors is an integer number (5500082).

Almost surely, 2145603696 is an apocalyptic number.

145603696 is a gapful number since it is divisible by the number (16) 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 145603696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165002460).

145603696 is an abundant number, since it is smaller than the sum of its proper divisors (184401224).

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

145603696 is a wasteful number, since it uses less digits than its factorization.

145603696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 145603696 is about 12066.6356537355. The cubic root of 145603696 is about 526.0868742861.

The spelling of 145603696 in words is "one hundred forty-five million, six hundred three thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 229 392 458 784 811 916 1603 1622 1832 3206 3244 3664 5677 6412 6488 11221 11354 12824 12976 22442 22708 25648 39739 44884 45416 79478 89768 90832 158956 179536 185719 317912 371438 635824 742876 1300033 1485752 2600066 2971504 5200132 9100231 10400264 18200462 20800528 36400924 72801848 145603696