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2146942980 = 22325713131071
BaseRepresentation
bin111111111110111…
…1100000000000100
312112121212000002200
41333331330000010
513344104133410
6553012234500
7104126466660
oct17775740004
95477760080
102146942980
11a01991046
124bb00ba30
13282a45980
141651c98a0
15c873b3c0
hex7ff7c004

2146942980 has 144 divisors (see below), whose sum is σ = 8015314944. Its totient is φ = 452977920.

The previous prime is 2146942979. The next prime is 2146942991. The reversal of 2146942980 is 892496412.

2146942980 is a `hidden beast` number, since 2 + 146 + 9 + 429 + 80 = 666.

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

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, 49156 + ... + 81915.

Almost surely, 22146942980 is an apocalyptic number.

2146942980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2146942980 is an abundant number, since it is smaller than the sum of its proper divisors (5868371964).

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

2146942980 is a wasteful number, since it uses less digits than its factorization.

2146942980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131106 (or 131101 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2146942980 is about 46335.1160568310. The cubic root of 2146942980 is about 1290.0508723403.

The spelling of 2146942980 in words is "two billion, one hundred forty-six million, nine hundred forty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 8190 16380 131071 262142 393213 524284 655355 786426 917497 1179639 1310710 1572852 1703923 1834994 1966065 2359278 2621420 2752491 3407846 3669988 3932130 4587485 4718556 5111769 5504982 5898195 6815692 7864260 8257473 8519615 9174970 10223538 11009964 11796390 11927461 13762455 15335307 16514946 17039230 18349940 20447076 23592780 23854922 25558845 27524910 30670614 33029892 34078460 35782383 41287365 47709844 51117690 55049820 59637305 61341228 71564766 76676535 82574730 102235380 107347149 119274610 143129532 153353070 165149460 178911915 214694298 238549220 306706140 357823830 429388596 536735745 715647660 1073471490 2146942980