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20077152 = 253283739
BaseRepresentation
bin100110010010…
…1101001100000
31101210000200020
41030211221200
520114432102
61554153440
7332436654
oct114455140
941700606
1020077152
1110373297
126882880
13420c594
142948a64
151b68bbc
hex1325a60

20077152 has 48 divisors (see below), whose sum is σ = 52960320. Its totient is φ = 6659712.

The previous prime is 20077151. The next prime is 20077163. The reversal of 20077152 is 25177002.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×200771522 = 806184064862208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20077151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26799 + ... + 27537.

It is an arithmetic number, because the mean of its divisors is an integer number (1103340).

Almost surely, 220077152 is an apocalyptic number.

It is an amenable number.

20077152 is an abundant number, since it is smaller than the sum of its proper divisors (32883168).

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

20077152 is a wasteful number, since it uses less digits than its factorization.

20077152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 20077152 is about 4480.7535080609. The cubic root of 20077152 is about 271.7903517159.

The spelling of 20077152 in words is "twenty million, seventy-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 283 566 739 849 1132 1478 1698 2217 2264 2956 3396 4434 4528 5912 6792 8868 9056 11824 13584 17736 23648 27168 35472 70944 209137 418274 627411 836548 1254822 1673096 2509644 3346192 5019288 6692384 10038576 20077152