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145405264 = 24233759181
BaseRepresentation
bin10001010101010…
…11010101010000
3101010121100112011
420222223111100
5244210432024
622232312304
73413632024
oct1052532520
9333540464
10145405264
1175094144
1240842694
1324180724
1415450384
15cb73094
hex8aab550

145405264 has 80 divisors (see below), whose sum is σ = 308730240. Its totient is φ = 66147840.

The previous prime is 145405243. The next prime is 145405277. The reversal of 145405264 is 462504541.

It is a happy number.

It is a super-2 number, since 2×1454052642 = 42285381597819392, which contains 22 as substring.

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, 803254 + ... + 803434.

It is an arithmetic number, because the mean of its divisors is an integer number (3859128).

Almost surely, 2145405264 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 145405264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154365120).

145405264 is an abundant number, since it is smaller than the sum of its proper divisors (163324976).

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

145405264 is a wasteful number, since it uses less digits than its factorization.

145405264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 145405264 is about 12058.4105088523. The cubic root of 145405264 is about 525.8477779531.

The spelling of 145405264 in words is "one hundred forty-five million, four hundred five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 23 37 46 59 74 92 118 148 181 184 236 296 362 368 472 592 724 851 944 1357 1448 1702 2183 2714 2896 3404 4163 4366 5428 6697 6808 8326 8732 10679 10856 13394 13616 16652 17464 21358 21712 26788 33304 34928 42716 50209 53576 66608 85432 100418 107152 154031 170864 200836 245617 308062 395123 401672 491234 616124 790246 803344 982468 1232248 1580492 1964936 2464496 3160984 3929872 6321968 9087829 18175658 36351316 72702632 145405264