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20152152 = 2334137227
BaseRepresentation
bin100110011011…
…1111101011000
31101220211120000
41030313331120
520124332102
61555533000
7333201426
oct114677530
941824500
1020152152
1110414679
1268ba160
134237767
142968116
151b8101c
hex1337f58

20152152 has 80 divisors (see below), whose sum is σ = 57107160. Its totient is φ = 6638976.

The previous prime is 20152127. The next prime is 20152159. The reversal of 20152152 is 25125102.

It is a super-2 number, since 2×201521522 = 812218460462208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20152159) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 88663 + ... + 88889.

Almost surely, 220152152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20152152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28553580).

20152152 is an abundant number, since it is smaller than the sum of its proper divisors (36955008).

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

20152152 is a wasteful number, since it uses less digits than its factorization.

20152152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 20152152 is about 4489.1148347976. The cubic root of 20152152 is about 272.1283635763.

Adding to 20152152 its reverse (25125102), we get a palindrome (45277254).

The spelling of 20152152 in words is "twenty million, one hundred fifty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 137 162 216 227 274 324 411 454 548 648 681 822 908 1096 1233 1362 1644 1816 2043 2466 2724 3288 3699 4086 4932 5448 6129 7398 8172 9864 11097 12258 14796 16344 18387 22194 24516 29592 31099 36774 44388 49032 62198 73548 88776 93297 124396 147096 186594 248792 279891 373188 559782 746376 839673 1119564 1679346 2239128 2519019 3358692 5038038 6717384 10076076 20152152