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210124420 = 2251117192957
BaseRepresentation
bin11001000011000…
…11111010000100
3112122101102111221
430201203322010
5412242440140
632503410124
75131012432
oct1441437204
9478342457
10210124420
11a8678650
125a453944
13346c069c
141dc99d52
15136a914a
hexc863e84

210124420 has 96 divisors (see below), whose sum is σ = 536699520. Its totient is φ = 68106240.

The previous prime is 210124391. The next prime is 210124433. The reversal of 210124420 is 24421012.

It is a junction number, because it is equal to n+sod(n) for n = 210124394 and 210124403.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69582 + ... + 72538.

It is an arithmetic number, because the mean of its divisors is an integer number (5590620).

Almost surely, 2210124420 is an apocalyptic number.

210124420 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 210124420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268349760).

210124420 is an abundant number, since it is smaller than the sum of its proper divisors (326575100).

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

210124420 is a wasteful number, since it uses less digits than its factorization.

210124420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3013 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 210124420 is about 14495.6690083625. The cubic root of 210124420 is about 594.5095598420.

Adding to 210124420 its reverse (24421012), we get a palindrome (234545432).

The spelling of 210124420 in words is "two hundred ten million, one hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 17 19 20 22 34 38 44 55 68 76 85 95 110 170 187 190 209 220 323 340 374 380 418 646 748 836 935 1045 1292 1615 1870 2090 2957 3230 3553 3740 4180 5914 6460 7106 11828 14212 14785 17765 29570 32527 35530 50269 56183 59140 65054 71060 100538 112366 130108 162635 201076 224732 251345 280915 325270 502690 552959 561830 618013 650540 955111 1005380 1105918 1123660 1236026 1910222 2211836 2472052 2764795 3090065 3820444 4775555 5529590 6180130 9551110 10506221 11059180 12360260 19102220 21012442 42024884 52531105 105062210 210124420