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202420120 = 2357799151
BaseRepresentation
bin11000001000010…
…10111110011000
3112002220000012111
430010022332120
5403304420440
632030322104
75005354060
oct1404127630
9462800174
10202420120
11a4296261
1257959334
1332c23a26
141cc523a0
1512b864ea
hexc10af98

202420120 has 64 divisors (see below), whose sum is σ = 527155200. Its totient is φ = 68515200.

The previous prime is 202420073. The next prime is 202420123. The reversal of 202420120 is 21024202.

It is a self number, because there is not a number n which added to its sum of digits gives 202420120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202420123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17545 + ... + 26695.

It is an arithmetic number, because the mean of its divisors is an integer number (8236800).

Almost surely, 2202420120 is an apocalyptic number.

202420120 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 202420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263577600).

202420120 is an abundant number, since it is smaller than the sum of its proper divisors (324735080).

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

202420120 is a wasteful number, since it uses less digits than its factorization.

202420120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9248 (or 9244 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 202420120 is about 14227.4424968088. The cubic root of 202420120 is about 587.1529212974.

Adding to 202420120 its reverse (21024202), we get a palindrome (223444322).

The spelling of 202420120 in words is "two hundred two million, four hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 79 140 158 280 316 395 553 632 790 1106 1580 2212 2765 3160 4424 5530 9151 11060 18302 22120 36604 45755 64057 73208 91510 128114 183020 256228 320285 366040 512456 640570 722929 1281140 1445858 2562280 2891716 3614645 5060503 5783432 7229290 10121006 14458580 20242012 25302515 28917160 40484024 50605030 101210060 202420120