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202113420 = 223523167877
BaseRepresentation
bin11000000110000…
…00000110001100
3112002022102111020
430003000012030
5403220112140
632015554140
75002635645
oct1403000614
9462272436
10202113420
11a40a6893
125782b950
1332b47252
141cbb26cc
1512b256d0
hexc0c018c

202113420 has 96 divisors (see below), whose sum is σ = 594736128. Its totient is φ = 51186432.

The previous prime is 202113413. The next prime is 202113427. The reversal of 202113420 is 24311202.

202113420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202113413) and next prime (202113427).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 202113420.

It is not an unprimeable number, because it can be changed into a prime (202113427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230022 + ... + 230898.

It is an arithmetic number, because the mean of its divisors is an integer number (6195168).

Almost surely, 2202113420 is an apocalyptic number.

202113420 is a gapful number since it is divisible by the number (20) 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 202113420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297368064).

202113420 is an abundant number, since it is smaller than the sum of its proper divisors (392622708).

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

202113420 is a wasteful number, since it uses less digits than its factorization.

202113420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 202113420 is about 14216.6599452895. The cubic root of 202113420 is about 586.8562267662.

Adding to 202113420 its reverse (24311202), we get a palindrome (226424622).

The spelling of 202113420 in words is "two hundred two million, one hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 167 230 276 334 345 460 501 668 690 835 877 1002 1380 1670 1754 2004 2505 2631 3340 3508 3841 4385 5010 5262 7682 8770 10020 10524 11523 13155 15364 17540 19205 20171 23046 26310 38410 40342 46092 52620 57615 60513 76820 80684 100855 115230 121026 146459 201710 230460 242052 292918 302565 403420 439377 585836 605130 732295 878754 1210260 1464590 1757508 2196885 2929180 3368557 4393770 6737114 8787540 10105671 13474228 16842785 20211342 33685570 40422684 50528355 67371140 101056710 202113420