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1400041220 = 2251931157757
BaseRepresentation
bin101001101110010…
…1110111100000100
310121120102110111112
41103130232330010
510331402304340
6350531424152
746460103554
oct12334567404
93546373445
101400041220
11659317766
12330a55058
13194094476
14d3d23164
1582da2065
hex5372ef04

1400041220 has 96 divisors (see below), whose sum is σ = 3219256320. Its totient is φ = 509483520.

The previous prime is 1400041219. The next prime is 1400041241. The reversal of 1400041220 is 221400041.

It is a junction number, because it is equal to n+sod(n) for n = 1400041195 and 1400041204.

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, 1849082 + ... + 1849838.

It is an arithmetic number, because the mean of its divisors is an integer number (33533920).

Almost surely, 21400041220 is an apocalyptic number.

1400041220 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 1400041220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609628160).

1400041220 is an abundant number, since it is smaller than the sum of its proper divisors (1819215100).

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

1400041220 is a wasteful number, since it uses less digits than its factorization.

1400041220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1400041220 is about 37417.1246891046. The cubic root of 1400041220 is about 1118.6999211065.

Adding to 1400041220 its reverse (221400041), we get a palindrome (1621441261).

The spelling of 1400041220 in words is "one billion, four hundred million, forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 157 190 310 314 380 589 620 628 757 785 1178 1514 1570 2356 2945 2983 3028 3140 3785 4867 5890 5966 7570 9734 11780 11932 14383 14915 15140 19468 23467 24335 28766 29830 46934 48670 57532 59660 71915 92473 93868 97340 117335 118849 143830 184946 234670 237698 287660 369892 445873 462365 469340 475396 594245 891746 924730 1188490 1783492 1849460 2229365 2258131 2376980 3684319 4458730 4516262 7368638 8917460 9032524 11290655 14737276 18421595 22581310 36843190 45162620 70002061 73686380 140004122 280008244 350010305 700020610 1400041220