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145695440 = 24511179739
BaseRepresentation
bin10001010111100…
…10001011010000
3101011011002120102
420223302023100
5244244223230
622242431532
73416251022
oct1053621320
9334132512
10145695440
1175272160
12409625a8
1324252827
14154c8012
15cbce045
hex8af22d0

145695440 has 80 divisors (see below), whose sum is σ = 391314240. Its totient is φ = 49858560.

The previous prime is 145695397. The next prime is 145695467. The reversal of 145695440 is 44596541.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1456954402 = 42454322473587200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145695394 and 145695403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10091 + ... + 19829.

It is an arithmetic number, because the mean of its divisors is an integer number (4891428).

Almost surely, 2145695440 is an apocalyptic number.

145695440 is a gapful number since it is divisible by the number (10) 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 145695440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195657120).

145695440 is an abundant number, since it is smaller than the sum of its proper divisors (245618800).

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

145695440 is a wasteful number, since it uses less digits than its factorization.

145695440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9780 (or 9774 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 145695440 is about 12070.4366118215. The cubic root of 145695440 is about 526.1973457962.

The spelling of 145695440 in words is "one hundred forty-five million, six hundred ninety-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2992 3740 7480 9739 14960 19478 38956 48695 77912 97390 107129 155824 165563 194780 214258 331126 389560 428516 535645 662252 779120 827815 857032 1071290 1324504 1655630 1714064 1821193 2142580 2649008 3311260 3642386 4285160 6622520 7284772 8570320 9105965 13245040 14569544 18211930 29139088 36423860 72847720 145695440