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915345540 = 223257369661
BaseRepresentation
bin110110100011110…
…001000010000100
32100210101101000200
4312203301002010
53333312024130
6230455010500
731453210614
oct6643610204
92323341020
10915345540
1142a76371a
12216669a30
1311783a3a5
14897d2a44
155555d760
hex368f1084

915345540 has 72 divisors (see below), whose sum is σ = 2814623448. Its totient is φ = 240744960.

The previous prime is 915345523. The next prime is 915345581. The reversal of 915345540 is 45543519.

It can be written as a sum of positive squares in 4 ways, for example, as 4875264 + 910470276 = 2208^2 + 30174^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 915345495 and 915345504.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21691 + ... + 47970.

Almost surely, 2915345540 is an apocalyptic number.

915345540 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

915345540 is an abundant number, since it is smaller than the sum of its proper divisors (1899277908).

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

915345540 is a wasteful number, since it uses less digits than its factorization.

915345540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69749 (or 69744 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 915345540 is about 30254.6779853959. The cubic root of 915345540 is about 970.9458800470.

The spelling of 915345540 in words is "nine hundred fifteen million, three hundred forty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 4380 6570 13140 69661 139322 208983 278644 348305 417966 626949 696610 835932 1044915 1253898 1393220 2089830 2507796 3134745 4179660 5085253 6269490 10170506 12538980 15255759 20341012 25426265 30511518 45767277 50852530 61023036 76278795 91534554 101705060 152557590 183069108 228836385 305115180 457672770 915345540