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152020520 = 23519317631
BaseRepresentation
bin10010000111110…
…10011000101000
3101121001102221122
421003322120220
5302404124040
623030154412
73524103341
oct1103723050
9347042848
10152020520
11788a22a3
1242ab2a08
1325658792
14162930c8
15d52d1b5
hex90fa628

152020520 has 64 divisors (see below), whose sum is σ = 361756800. Its totient is φ = 57335040.

The previous prime is 152020507. The next prime is 152020537. The reversal of 152020520 is 25020251.

It is a super-2 number, since 2×1520205202 = 46220477002140800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240605 + ... + 241235.

It is an arithmetic number, because the mean of its divisors is an integer number (5652450).

Almost surely, 2152020520 is an apocalyptic number.

152020520 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 152020520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180878400).

152020520 is an abundant number, since it is smaller than the sum of its proper divisors (209736280).

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

152020520 is a wasteful number, since it uses less digits than its factorization.

152020520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 152020520 is about 12329.6601737436. The cubic root of 152020520 is about 533.7043442786.

Adding to 152020520 its reverse (25020251), we get a palindrome (177040771).

The spelling of 152020520 in words is "one hundred fifty-two million, twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 317 380 631 634 760 1262 1268 1585 2524 2536 3155 3170 5048 6023 6310 6340 11989 12046 12620 12680 23978 24092 25240 30115 47956 48184 59945 60230 95912 119890 120460 200027 239780 240920 400054 479560 800108 1000135 1600216 2000270 3800513 4000540 7601026 8001080 15202052 19002565 30404104 38005130 76010260 152020520