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153042240 = 26351312263
BaseRepresentation
bin10010001111100…
…11110101000000
3101122222100111010
421013303311000
5303134322430
623104120520
73535560201
oct1107636500
9348870433
10153042240
117942a99a
1243306140
1325925850
141647b5a8
15d680cb0
hex91f3d40

153042240 has 112 divisors (see below), whose sum is σ = 523329408. Its totient is φ = 37668864.

The previous prime is 153042209. The next prime is 153042259. The reversal of 153042240 is 42240351.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6349 + ... + 18611.

It is an arithmetic number, because the mean of its divisors is an integer number (4672584).

Almost surely, 2153042240 is an apocalyptic number.

153042240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261664704).

153042240 is an abundant number, since it is smaller than the sum of its proper divisors (370287168).

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

153042240 is a wasteful number, since it uses less digits than its factorization.

153042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12296 (or 12286 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 153042240 is about 12371.0242098219. The cubic root of 153042240 is about 534.8973396055.

Adding to 153042240 its reverse (42240351), we get a palindrome (195282591).

The spelling of 153042240 in words is "one hundred fifty-three million, forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12263 12480 24526 36789 49052 61315 73578 98104 122630 147156 159419 183945 196208 245260 294312 318838 367890 392416 478257 490520 588624 637676 735780 784832 797095 956514 981040 1177248 1275352 1471560 1594190 1913028 1962080 2354496 2391285 2550704 2943120 3188380 3826056 3924160 4782570 5101408 5886240 6376760 7652112 9565140 10202816 11772480 12753520 15304224 19130280 25507040 30608448 38260560 51014080 76521120 153042240