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2149694040 = 2335131378009
BaseRepresentation
bin1000000000100001…
…1011101001011000
312112211000202211210
42000020123221120
513400310202130
6553151223120
7104162045364
oct20010335130
95484022753
102149694040
11a0349aa4a
124bbb17aa0
13283499c10
141657042a4
15c8ad15b0
hex8021ba58

2149694040 has 64 divisors (see below), whose sum is σ = 6945170400. Its totient is φ = 529155072.

The previous prime is 2149694017. The next prime is 2149694089. The reversal of 2149694040 is 404969412.

It is a super-2 number, since 2×21496940402 = 9242368931223043200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2149694040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 687445 + ... + 690564.

Almost surely, 22149694040 is an apocalyptic number.

2149694040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2149694040 is an abundant number, since it is smaller than the sum of its proper divisors (4795476360).

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

2149694040 is a wasteful number, since it uses less digits than its factorization.

2149694040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378036 (or 1378032 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 2149694040 is about 46364.7931085646. The cubic root of 2149694040 is about 1290.6016543254.

The spelling of 2149694040 in words is "two billion, one hundred forty-nine million, six hundred ninety-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 1378009 2756018 4134027 5512036 6890045 8268054 11024072 13780090 16536108 17914117 20670135 27560180 33072216 35828234 41340270 53742351 55120360 71656468 82680540 89570585 107484702 143312936 165361080 179141170 214969404 268711755 358282340 429938808 537423510 716564680 1074847020 2149694040