Search a number
-
+
152483520 = 2635722691
BaseRepresentation
bin10010001011010…
…11011011000000
3101121220222001210
421011223123000
5303013433040
623044130120
73531042240
oct1105533300
9347828053
10152483520
1179089142
1243096940
132578b447
1416373b20
15d5c0480
hex916b6c0

152483520 has 112 divisors (see below), whose sum is σ = 553321728. Its totient is φ = 34851840.

The previous prime is 152483503. The next prime is 152483521. The reversal of 152483520 is 25384251.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (152483521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4626 + ... + 18065.

Almost surely, 2152483520 is an apocalyptic number.

152483520 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 152483520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276660864).

152483520 is an abundant number, since it is smaller than the sum of its proper divisors (400838208).

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

152483520 is a wasteful number, since it uses less digits than its factorization.

152483520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22718 (or 22708 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 152483520 is about 12348.4217615046. The cubic root of 152483520 is about 534.2456191681.

The spelling of 152483520 in words is "one hundred fifty-two million, four hundred eighty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 22691 45382 68073 90764 113455 136146 158837 181528 226910 272292 317674 340365 363056 453820 476511 544584 635348 680730 726112 794185 907640 953022 1089168 1270696 1361460 1452224 1588370 1815280 1906044 2178336 2382555 2541392 2722920 3176740 3630560 3812088 4356672 4765110 5082784 5445840 6353480 7261120 7624176 9530220 10165568 10891680 12706960 15248352 19060440 21783360 25413920 30496704 38120880 50827840 76241760 152483520