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145416708 = 22341721553
BaseRepresentation
bin10001010101011…
…10001000000100
3101010121221020000
420222232020010
5244211313313
622232441300
73414010263
oct1052561004
9333557200
10145416708
11750a17a8
1240849230
13241859b8
14154545da
15cb76673
hex8aae204

145416708 has 90 divisors (see below), whose sum is σ = 404085066. Its totient is φ = 45591552.

The previous prime is 145416659. The next prime is 145416727. The reversal of 145416708 is 807614541.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 28387584 + 117029124 = 5328^2 + 10818^2 .

It is a super-2 number, since 2×1454167082 = 42292037931114528, 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 polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 92860 + ... + 94412.

Almost surely, 2145416708 is an apocalyptic number.

145416708 is a gapful number since it is divisible by the number (18) 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 145416708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202042533).

145416708 is an abundant number, since it is smaller than the sum of its proper divisors (258668358).

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

145416708 is a wasteful number, since it uses less digits than its factorization.

145416708 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 145416708 is about 12058.8850230857. The cubic root of 145416708 is about 525.8615730614.

The spelling of 145416708 in words is "one hundred forty-five million, four hundred sixteen thousand, seven hundred eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 289 306 324 459 578 612 867 918 1156 1377 1553 1734 1836 2601 2754 3106 3468 4659 5202 5508 6212 7803 9318 10404 13977 15606 18636 23409 26401 27954 31212 41931 46818 52802 55908 79203 83862 93636 105604 125793 158406 167724 237609 251586 316812 448817 475218 503172 712827 897634 950436 1346451 1425654 1795268 2138481 2692902 2851308 4039353 4276962 5385804 8078706 8553924 12118059 16157412 24236118 36354177 48472236 72708354 145416708