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145298916 = 223274412
BaseRepresentation
bin10001010100100…
…01010111100100
3101010101221122100
420222101113210
5244144031131
622230132100
73413010000
oct1052212744
9333357570
10145298916
1175021254
12407b1030
13241441b9
1415423700
15cb517e6
hex8a915e4

145298916 has 135 divisors (see below), whose sum is σ = 439177193. Its totient is φ = 40501440.

The previous prime is 145298893. The next prime is 145298921. The reversal of 145298916 is 619892541.

The square root of 145298916 is 12054.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7001316 + 138297600 = 2646^2 + 11760^2 .

It is a super-2 number, since 2×1452989162 = 42223549981550112, which contains 22 as substring.

Its product of digits (155520) is a multiple of the sum of its prime factors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3543856 + ... + 3543896.

Almost surely, 2145298916 is an apocalyptic number.

145298916 is the 12054-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145298916

145298916 is an abundant number, since it is smaller than the sum of its proper divisors (293878277).

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

145298916 is an equidigital number, since it uses as much as digits as its factorization.

145298916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 53 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The cubic root of 145298916 is about 525.7195466972.

The spelling of 145298916 in words is "one hundred forty-five million, two hundred ninety-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 49 63 82 84 98 123 126 147 164 196 246 252 287 294 343 369 441 492 574 588 686 738 861 882 1029 1148 1372 1476 1681 1722 1764 2009 2058 2401 2583 3087 3362 3444 4018 4116 4802 5043 5166 6027 6174 6724 7203 8036 9604 10086 10332 11767 12054 12348 14063 14406 15129 18081 20172 21609 23534 24108 28126 28812 30258 35301 36162 42189 43218 47068 56252 60516 70602 72324 82369 84378 86436 98441 105903 126567 141204 164738 168756 196882 211806 247107 253134 295323 329476 393764 423612 494214 506268 576583 590646 741321 885969 988428 1153166 1181292 1482642 1729749 1771938 2306332 2965284 3459498 3543876 4036081 5189247 6918996 8072162 10378494 12108243 16144324 20756988 24216486 36324729 48432972 72649458 145298916