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145872104 = 23717732099
BaseRepresentation
bin10001011000111…
…01010011101000
3101011111001220112
420230131103220
5244320401404
622250313452
73420615050
oct1054352350
9334431815
10145872104
1175382964
1240a28888
13242b5071
1415532560
15cc1656e
hex8b1d4e8

145872104 has 64 divisors (see below), whose sum is σ = 335664000. Its totient is φ = 58005504.

The previous prime is 145872091. The next prime is 145872113. The reversal of 145872104 is 401278541.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 68447 + ... + 70545.

It is an arithmetic number, because the mean of its divisors is an integer number (5244750).

Almost surely, 2145872104 is an apocalyptic number.

145872104 is a gapful number since it is divisible by the number (14) 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 145872104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167832000).

145872104 is an abundant number, since it is smaller than the sum of its proper divisors (189791896).

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

145872104 is a wasteful number, since it uses less digits than its factorization.

145872104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 145872104 is about 12077.7524399203. The cubic root of 145872104 is about 526.4099412854.

The spelling of 145872104 in words is "one hundred forty-five million, eight hundred seventy-two thousand, one hundred four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 73 119 136 146 238 292 476 511 584 952 1022 1241 2044 2099 2482 4088 4198 4964 8396 8687 9928 14693 16792 17374 29386 34748 35683 58772 69496 71366 117544 142732 153227 249781 285464 306454 499562 612908 999124 1072589 1225816 1998248 2145178 2604859 4290356 5209718 8580712 10419436 18234013 20838872 36468026 72936052 145872104