Search a number
-
+
20057310 = 23257133179
BaseRepresentation
bin100110010000…
…0110011011110
31101202000110100
41030200303132
520113313220
61553521530
7332325060
oct114406336
941660410
1020057310
111035a399
1268732a6
134203540
142941730
151b62d90
hex1320cde

20057310 has 192 divisors, whose sum is σ = 67092480. Its totient is φ = 4043520.

The previous prime is 20057291. The next prime is 20057347. The reversal of 20057310 is 1375002.

It is a super-2 number, since 2×200573102 = 804591368872200, 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 253851 + ... + 253929.

It is an arithmetic number, because the mean of its divisors is an integer number (349440).

Almost surely, 220057310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20057310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33546240).

20057310 is an abundant number, since it is smaller than the sum of its proper divisors (47035170).

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

20057310 is a wasteful number, since it uses less digits than its factorization.

20057310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 20057310 is about 4478.5388242149. The cubic root of 20057310 is about 271.7007865276.

The spelling of 20057310 in words is "twenty million, fifty-seven thousand, three hundred ten".