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145307916 = 2232132511237
BaseRepresentation
bin10001010100100…
…11100100001100
3101010102101222200
420222103210030
5244144323131
622230241500
73413045145
oct1052234414
9333371880
10145307916
1175027a96
12407b6290
1324148320
1415426acc
15cb542e6
hex8a9390c

145307916 has 72 divisors (see below), whose sum is σ = 397457424. Its totient is φ = 44496000.

The previous prime is 145307867. The next prime is 145307941. The reversal of 145307916 is 619703541.

It is a super-2 number, since 2×1453079162 = 42228780904526112, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116850 + ... + 118086.

It is an arithmetic number, because the mean of its divisors is an integer number (5520242).

Almost surely, 2145307916 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 145307916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198728712).

145307916 is an abundant number, since it is smaller than the sum of its proper divisors (252149508).

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

145307916 is a wasteful number, since it uses less digits than its factorization.

145307916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 145307916 is about 12054.3733142789. The cubic root of 145307916 is about 525.7304010526.

The spelling of 145307916 in words is "one hundred forty-five million, three hundred seven thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 251 468 502 753 1004 1237 1506 2259 2474 3012 3263 3711 4518 4948 6526 7422 9036 9789 11133 13052 14844 16081 19578 22266 29367 32162 39156 44532 48243 58734 64324 96486 117468 144729 192972 289458 310487 578916 620974 931461 1241948 1862922 2794383 3725844 4036331 5588766 8072662 11177532 12108993 16145324 24217986 36326979 48435972 72653958 145307916