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153740520 = 233251725121
BaseRepresentation
bin10010010100111…
…10010011101000
3101201021211100100
421022132103220
5303324144040
623131105400
73544526043
oct1112362350
9351254310
10153740520
117986758a
12435a2260
1325b0b62b
14165bdc5a
15d76cb30
hex929e4e8

153740520 has 96 divisors (see below), whose sum is σ = 529069320. Its totient is φ = 38584320.

The previous prime is 153740497. The next prime is 153740527. The reversal of 153740520 is 25047351.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 136749636 + 16990884 = 11694^2 + 4122^2 .

It is a super-2 number, since 2×1537405202 = 47272294979740800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (153740527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6441 + ... + 18680.

Almost surely, 2153740520 is an apocalyptic number.

153740520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153740520 is an abundant number, since it is smaller than the sum of its proper divisors (375328800).

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

153740520 is a wasteful number, since it uses less digits than its factorization.

153740520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25155 (or 25148 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 153740520 is about 12399.2144912490. The cubic root of 153740520 is about 535.7096240356.

Adding to 153740520 its reverse (25047351), we get a palindrome (178787871).

The spelling of 153740520 in words is "one hundred fifty-three million, seven hundred forty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 25121 50242 75363 100484 125605 150726 200968 226089 251210 301452 376815 427057 452178 502420 602904 753630 854114 904356 1004840 1130445 1281171 1507260 1708228 1808712 2135285 2260890 2562342 3014520 3416456 3843513 4270570 4521780 5124684 6405855 7687026 8541140 9043560 10249368 12811710 15374052 17082280 19217565 25623420 30748104 38435130 51246840 76870260 153740520