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153852380 = 2251117311327
BaseRepresentation
bin10010010101110…
…01100111011100
3101201111111210022
421022321213130
5303341234010
623133331312
73545503133
oct1112714734
9351444708
10153852380
1179933630
1243636b38
1325b4a516
141660c91a
15d790d55
hex92b99dc

153852380 has 96 divisors (see below), whose sum is σ = 385523712. Its totient is φ = 50918400.

The previous prime is 153852373. The next prime is 153852389. The reversal of 153852380 is 83258351.

It is a self number, because there is not a number n which added to its sum of digits gives 153852380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153852389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115277 + ... + 116603.

It is an arithmetic number, because the mean of its divisors is an integer number (4015872).

Almost surely, 2153852380 is an apocalyptic number.

153852380 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 153852380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192761856).

153852380 is an abundant number, since it is smaller than the sum of its proper divisors (231671332).

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

153852380 is a wasteful number, since it uses less digits than its factorization.

153852380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 153852380 is about 12403.7244406670. The cubic root of 153852380 is about 535.8395181172.

The spelling of 153852380 in words is "one hundred fifty-three million, eight hundred fifty-two thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 17 20 22 31 34 44 55 62 68 85 110 124 155 170 187 220 310 340 341 374 527 620 682 748 935 1054 1327 1364 1705 1870 2108 2635 2654 3410 3740 5270 5308 5797 6635 6820 10540 11594 13270 14597 22559 23188 26540 28985 29194 41137 45118 57970 58388 72985 82274 90236 112795 115940 145970 164548 205685 225590 248149 291940 411370 451180 452507 496298 699329 822740 905014 992596 1240745 1398658 1810028 2262535 2481490 2797316 3496645 4525070 4962980 6993290 7692619 9050140 13986580 15385238 30770476 38463095 76926190 153852380