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145337076 = 22324393887
BaseRepresentation
bin10001010100110…
…10101011110100
3101010110212222200
420222122223310
5244201241301
622231024500
73413226153
oct1052325364
9333425880
10145337076
1175047995
124080b130
1324158691
141543359a
15cb5cc86
hex8a9aaf4

145337076 has 36 divisors (see below), whose sum is σ = 375927552. Its totient is φ = 47318544.

The previous prime is 145337053. The next prime is 145337117. The reversal of 145337076 is 670733541.

145337076 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1453370762 = 42245731320459552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 145337076.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45396 + ... + 48491.

It is an arithmetic number, because the mean of its divisors is an integer number (10442432).

Almost surely, 2145337076 is an apocalyptic number.

It is an amenable number.

145337076 is an abundant number, since it is smaller than the sum of its proper divisors (230590476).

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

145337076 is a wasteful number, since it uses less digits than its factorization.

145337076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93940 (or 93935 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 145337076 is about 12055.5827731388. The cubic root of 145337076 is about 525.7655660859.

It can be divided in two parts, 14533 and 7076, that added together give a square (21609 = 1472).

The spelling of 145337076 in words is "one hundred forty-five million, three hundred thirty-seven thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 93887 187774 281661 375548 563322 844983 1126644 1689966 3379932 4037141 8074282 12111423 16148564 24222846 36334269 48445692 72668538 145337076