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145487712 = 2531931283
BaseRepresentation
bin10001010101111…
…11011101100000
3101010202112121210
420222333131200
5244221101322
622234150120
73414424266
oct1052773540
9333675553
10145487712
1175140087
1240882340
13241ac106
1415472436
15cb8c70c
hex8abf760

145487712 has 144 divisors (see below), whose sum is σ = 420396480. Its totient is φ = 43925760.

The previous prime is 145487707. The next prime is 145487729. The reversal of 145487712 is 217784541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1752823 + ... + 1752905.

It is an arithmetic number, because the mean of its divisors is an integer number (2919420).

Almost surely, 2145487712 is an apocalyptic number.

145487712 is a gapful number since it is divisible by the number (12) 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 145487712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210198240).

145487712 is an abundant number, since it is smaller than the sum of its proper divisors (274908768).

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

145487712 is a wasteful number, since it uses less digits than its factorization.

145487712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 138 counting only the distinct ones).

The product of its digits is 62720, while the sum is 39.

The square root of 145487712 is about 12061.8287170727. The cubic root of 145487712 is about 525.9471482797.

The spelling of 145487712 in words is "one hundred forty-five million, four hundred eighty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 76 83 93 96 114 124 152 166 186 228 248 249 304 332 372 456 496 498 589 608 664 744 912 961 992 996 1178 1328 1488 1577 1767 1824 1922 1992 2356 2573 2656 2883 2976 3154 3534 3844 3984 4712 4731 5146 5766 6308 7068 7688 7719 7968 9424 9462 10292 11532 12616 14136 15376 15438 18259 18848 18924 20584 23064 25232 28272 30752 30876 36518 37848 41168 46128 48887 50464 54777 56544 61752 73036 75696 79763 82336 92256 97774 109554 123504 146072 146661 151392 159526 195548 219108 239289 247008 292144 293322 319052 391096 438216 478578 584288 586644 638104 782192 876432 957156 1173288 1276208 1515497 1564384 1752864 1914312 2346576 2552416 3030994 3828624 4546491 4693152 6061988 7657248 9092982 12123976 18185964 24247952 36371928 48495904 72743856 145487712