Search a number
-
+
2137099860 = 2232571989269
BaseRepresentation
bin111111101100001…
…1000111001010100
312111221022220212200
41333120120321110
513334044143420
6552021244500
7103650022560
oct17730307124
95457286780
102137099860
119a7378835
124b7863730
132809aa63c
14163b866a0
15c7944b90
hex7f618e54

2137099860 has 144 divisors (see below), whose sum is σ = 7798627200. Its totient is φ = 462765312.

The previous prime is 2137099849. The next prime is 2137099883. The reversal of 2137099860 is 689907312.

It is a super-2 number, since 2×21370998602 = 9134391623224039200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20695 + ... + 68574.

Almost surely, 22137099860 is an apocalyptic number.

2137099860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2137099860 is an abundant number, since it is smaller than the sum of its proper divisors (5661527340).

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

2137099860 is a wasteful number, since it uses less digits than its factorization.

2137099860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89310 (or 89305 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 2137099860 is about 46228.7774010951. Note that the first 3 decimals coincide. The cubic root of 2137099860 is about 1288.0763468562.

The spelling of 2137099860 in words is "two billion, one hundred thirty-seven million, ninety-nine thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 1140 1197 1260 1330 1596 1710 1995 2394 2660 3420 3990 4788 5985 7980 11970 23940 89269 178538 267807 357076 446345 535614 624883 803421 892690 1071228 1249766 1339035 1606842 1696111 1785380 1874649 2499532 2678070 3124415 3213684 3392222 3749298 4017105 5088333 5356140 5623947 6248830 6784444 7498596 8034210 8480555 9373245 10176666 11247894 11872777 12497660 15264999 16068420 16961110 18746490 20353332 22495788 23745554 25441665 28119735 30529998 33922220 35618331 37492980 47491108 50883330 56239470 59363885 61059996 71236662 76324995 101766660 106854993 112478940 118727770 142473324 152649990 178091655 213709986 237455540 305299980 356183310 427419972 534274965 712366620 1068549930 2137099860