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153525130 = 2511171929149
BaseRepresentation
bin10010010011010…
…01101110001010
3101200212212212221
421021221232022
5303300301010
623122324254
73542641063
oct1111515612
9350785787
10153525130
117972a780
12434b968a
1325a64595
141656556a
15d728dda
hex9269b8a

153525130 has 128 divisors (see below), whose sum is σ = 349920000. Its totient is φ = 47738880.

The previous prime is 153525109. The next prime is 153525133. The reversal of 153525130 is 31525351.

It is a junction number, because it is equal to n+sod(n) for n = 153525095 and 153525104.

It is not an unprimeable number, because it can be changed into a prime (153525133) 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 63 ways as a sum of consecutive naturals, for example, 1030296 + ... + 1030444.

It is an arithmetic number, because the mean of its divisors is an integer number (2733750).

Almost surely, 2153525130 is an apocalyptic number.

153525130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

153525130 is an abundant number, since it is smaller than the sum of its proper divisors (196394870).

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

153525130 is a wasteful number, since it uses less digits than its factorization.

153525130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232.

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 153525130 is about 12390.5258161226. The cubic root of 153525130 is about 535.4593312625.

The spelling of 153525130 in words is "one hundred fifty-three million, five hundred twenty-five thousand, one hundred thirty".

Divisors: 1 2 5 10 11 17 19 22 29 34 38 55 58 85 95 110 145 149 170 187 190 209 290 298 319 323 374 418 493 551 638 646 745 935 986 1045 1102 1490 1595 1615 1639 1870 2090 2465 2533 2755 2831 3190 3230 3278 3553 4321 4930 5066 5423 5510 5662 6061 7106 8195 8642 9367 10846 12122 12665 14155 16390 17765 18734 21605 25330 27115 27863 28310 30305 31141 35530 43210 46835 47531 48127 54230 55726 60610 62282 73457 82099 93670 95062 96254 103037 139315 146914 155705 164198 206074 237655 240635 278630 311410 367285 410495 475310 481270 515185 529397 734570 808027 820990 903089 1030370 1058794 1395683 1616054 1806178 2646985 2791366 4040135 4515445 5293970 6978415 8080270 9030890 13956830 15352513 30705026 76762565 153525130