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1400131020 = 2235291137121
BaseRepresentation
bin101001101110100…
…0100110111001100
310121120121000200110
41103131010313030
510331413143040
6350533400020
746460626431
oct12335046714
93546530613
101400131020
11659379182
12330a99010
131940c62c2
14d3d47b88
1582dbd980
hex53744dcc

1400131020 has 96 divisors (see below), whose sum is σ = 4092016320. Its totient is φ = 357253120.

The previous prime is 1400131009. The next prime is 1400131037. The reversal of 1400131020 is 201310041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1400130987 and 1400131005.

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, 193060 + ... + 200180.

It is an arithmetic number, because the mean of its divisors is an integer number (42625170).

Almost surely, 21400131020 is an apocalyptic number.

1400131020 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 1400131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046008160).

1400131020 is an abundant number, since it is smaller than the sum of its proper divisors (2691885300).

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

1400131020 is a wasteful number, since it uses less digits than its factorization.

1400131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7275 (or 7273 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1400131020 is about 37418.3246551740. The cubic root of 1400131020 is about 1118.7238387607.

Adding to 1400131020 its reverse (201310041), we get a palindrome (1601441061).

The spelling of 1400131020 in words is "one billion, four hundred million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 113 116 145 174 226 290 339 348 435 452 565 580 678 870 1130 1356 1695 1740 2260 3277 3390 6554 6780 7121 9831 13108 14242 16385 19662 21363 28484 32770 35605 39324 42726 49155 65540 71210 85452 98310 106815 142420 196620 206509 213630 413018 427260 619527 804673 826036 1032545 1239054 1609346 2065090 2414019 2478108 3097635 3218692 4023365 4130180 4828038 6195270 8046730 9656076 12070095 12390540 16093460 23335517 24140190 46671034 48280380 70006551 93342068 116677585 140013102 233355170 280026204 350032755 466710340 700065510 1400131020