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1400120120 = 23572809883
BaseRepresentation
bin101001101110100…
…0010001100111000
310121120120110201202
41103131002030320
510331412320440
6350533233332
746460552600
oct12335021470
93546513652
101400120120
11659370a73
12330a92848
131940c1359
14d3d43c00
1582dba615
hex53742338

1400120120 has 96 divisors (see below), whose sum is σ = 3673285200. Its totient is φ = 478904832.

The previous prime is 1400120039. The next prime is 1400120123. The reversal of 1400120120 is 210210041.

1400120120 is a modest number, since divided by 120120 gives 1400 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400120123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1585199 + ... + 1586081.

Almost surely, 21400120120 is an apocalyptic number.

1400120120 is a gapful number since it is divisible by the number (10) 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 1400120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836642600).

1400120120 is an abundant number, since it is smaller than the sum of its proper divisors (2273165080).

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

1400120120 is a wasteful number, since it uses less digits than its factorization.

1400120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1400120120 is about 37418.1790043289. The cubic root of 1400120120 is about 1118.7209356701.

Adding to 1400120120 its reverse (210210041), we get a palindrome (1610330161).

The spelling of 1400120120 in words is "one billion, four hundred million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 809 883 980 1618 1766 1960 3236 3532 4045 4415 5663 6181 6472 7064 8090 8830 11326 12362 16180 17660 22652 24724 28315 30905 32360 35320 39641 43267 45304 49448 56630 61810 79282 86534 113260 123620 158564 173068 198205 216335 226520 247240 317128 346136 396410 432670 714347 792820 865340 1428694 1585640 1730680 2857388 3571735 5000429 5714776 7143470 10000858 14286940 20001716 25002145 28573880 35003003 40003432 50004290 70006006 100008580 140012012 175015015 200017160 280024024 350030030 700060060 1400120120