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145930944 = 26319109367
BaseRepresentation
bin10001011001010…
…11101011000000
3101011121001121210
420230223223000
5244324242234
622251450120
73421251435
oct1054535300
9334531553
10145930944
1175413095
1240a56940
1324305a93
1415549b8c
15cc28be9
hex8b2bac0

145930944 has 112 divisors (see below), whose sum is σ = 411276800. Its totient is φ = 45536256.

The previous prime is 145930943. The next prime is 145930951. The reversal of 145930944 is 449039541.

It is a super-2 number, since 2×1459309442 = 42591680833462272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145930943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397449 + ... + 397815.

Almost surely, 2145930944 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 145930944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205638400).

145930944 is an abundant number, since it is smaller than the sum of its proper divisors (265345856).

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

145930944 is a wasteful number, since it uses less digits than its factorization.

145930944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 145930944 is about 12080.1880780061. The cubic root of 145930944 is about 526.4807105790.

The spelling of 145930944 in words is "one hundred forty-five million, nine hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 109 114 152 192 218 228 304 327 367 436 456 608 654 734 872 912 1101 1216 1308 1468 1744 1824 2071 2202 2616 2936 3488 3648 4142 4404 5232 5872 6213 6973 6976 8284 8808 10464 11744 12426 13946 16568 17616 20919 20928 23488 24852 27892 33136 35232 40003 41838 49704 55784 66272 70464 80006 83676 99408 111568 120009 132544 160012 167352 198816 223136 240018 320024 334704 397632 446272 480036 640048 669408 760057 960072 1280096 1338816 1520114 1920144 2280171 2560192 3040228 3840288 4560342 6080456 7680576 9120684 12160912 18241368 24321824 36482736 48643648 72965472 145930944