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145103872 = 2102361101
BaseRepresentation
bin10001010011000…
…01110000000000
3101010001001002111
420221201300000
5244121310442
622222025104
73411235234
oct1051416000
9333031074
10145103872
11749a8761
1240718194
13240a64a4
14153b25c4
15cb13b17
hex8a61c00

145103872 has 88 divisors (see below), whose sum is σ = 310685472. Its totient is φ = 67584000.

The previous prime is 145103821. The next prime is 145103911. The reversal of 145103872 is 278301541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1436622 + ... + 1436722.

Almost surely, 2145103872 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 145103872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155342736).

145103872 is an abundant number, since it is smaller than the sum of its proper divisors (165581600).

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

145103872 is a wasteful number, since it uses less digits than its factorization.

145103872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 145103872 is about 12045.9068566879. The cubic root of 145103872 is about 525.4842057379.

The spelling of 145103872 in words is "one hundred forty-five million, one hundred three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 23 32 46 61 64 92 101 122 128 184 202 244 256 368 404 488 512 736 808 976 1024 1403 1472 1616 1952 2323 2806 2944 3232 3904 4646 5612 5888 6161 6464 7808 9292 11224 11776 12322 12928 15616 18584 22448 23552 24644 25856 31232 37168 44896 49288 51712 62464 74336 89792 98576 103424 141703 148672 179584 197152 283406 297344 359168 394304 566812 594688 718336 788608 1133624 1189376 1436672 1577216 2267248 2378752 3154432 4534496 6308864 9068992 18137984 36275968 72551936 145103872