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145940976 = 243219411301
BaseRepresentation
bin10001011001011…
…10000111110000
3101011121120101100
420230232013300
5244330102401
622252004400
73421322616
oct1054560760
9334546340
10145940976
117541a685
1240a60700
132430a50c
141554d6b6
15cc2bb86
hex8b2e1f0

145940976 has 120 divisors (see below), whose sum is σ = 440753040. Its totient is φ = 44928000.

The previous prime is 145940953. The next prime is 145940983. The reversal of 145940976 is 679049541.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 111526 + ... + 112826.

It is an arithmetic number, because the mean of its divisors is an integer number (3672942).

Almost surely, 2145940976 is an apocalyptic number.

145940976 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 145940976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220376520).

145940976 is an abundant number, since it is smaller than the sum of its proper divisors (294812064).

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

145940976 is a wasteful number, since it uses less digits than its factorization.

145940976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 145940976 is about 12080.6032961934. The cubic root of 145940976 is about 526.4927745807.

The spelling of 145940976 in words is "one hundred forty-five million, nine hundred forty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 41 48 57 72 76 82 114 123 144 152 164 171 228 246 304 328 342 369 456 492 656 684 738 779 912 984 1301 1368 1476 1558 1968 2337 2602 2736 2952 3116 3903 4674 5204 5904 6232 7011 7806 9348 10408 11709 12464 14022 15612 18696 20816 23418 24719 28044 31224 37392 46836 49438 53341 56088 62448 74157 93672 98876 106682 112176 148314 160023 187344 197752 213364 222471 296628 320046 395504 426728 444942 480069 593256 640092 853456 889884 960138 1013479 1186512 1280184 1779768 1920276 2026958 2560368 3040437 3559536 3840552 4053916 6080874 7681104 8107832 9121311 12161748 16215664 18242622 24323496 36485244 48646992 72970488 145940976