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153013520 = 24511317179
BaseRepresentation
bin10010001111011…
…00110100010000
3101122220220002102
421013230310100
5303132413040
623103335532
73535410362
oct1107546420
9348826072
10153013520
1179410360
12432b15a8
132591575a
1416470d32
15d677515
hex91ecd10

153013520 has 160 divisors (see below), whose sum is σ = 411402240. Its totient is φ = 52416000.

The previous prime is 153013513. The next prime is 153013543. The reversal of 153013520 is 25310351.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 153013492 and 153013501.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1936841 + ... + 1936919.

It is an arithmetic number, because the mean of its divisors is an integer number (2571264).

Almost surely, 2153013520 is an apocalyptic number.

153013520 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 153013520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205701120).

153013520 is an abundant number, since it is smaller than the sum of its proper divisors (258388720).

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

153013520 is a wasteful number, since it uses less digits than its factorization.

153013520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 153013520 is about 12369.8633783886. The cubic root of 153013520 is about 534.8638777920.

Adding to 153013520 its reverse (25310351), we get a palindrome (178323871).

The spelling of 153013520 in words is "one hundred fifty-three million, thirteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 71 79 80 88 110 124 142 155 158 176 220 248 284 310 316 341 355 395 440 496 568 620 632 682 710 781 790 869 880 1136 1240 1264 1364 1420 1562 1580 1705 1738 2201 2449 2480 2728 2840 3124 3160 3410 3476 3905 4345 4402 4898 5456 5609 5680 6248 6320 6820 6952 7810 8690 8804 9796 11005 11218 12245 12496 13640 13904 15620 17380 17608 19592 22010 22436 24211 24490 26939 27280 28045 31240 34760 35216 39184 44020 44872 48422 48980 53878 56090 61699 62480 69520 88040 89744 96844 97960 107756 112180 121055 123398 134695 173879 176080 193688 195920 215512 224360 242110 246796 269390 308495 347758 387376 431024 448720 484220 493592 538780 616990 695516 869395 968440 987184 1077560 1233980 1391032 1738790 1912669 1936880 2155120 2467960 2782064 3477580 3825338 4935920 6955160 7650676 9563345 13910320 15301352 19126690 30602704 38253380 76506760 153013520