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2124506640 = 243514875953
BaseRepresentation
bin111111010100001…
…0110011000010000
312111001122010020010
41332220112120100
513322333203030
6550451314520
7103435002624
oct17650263020
95431563203
102124506640
119a0257313
124b35aba40
1327b1bb629
14162229184
15c67a86b0
hex7ea16610

2124506640 has 80 divisors (see below), whose sum is σ = 6591506688. Its totient is φ = 566059008.

The previous prime is 2124506639. The next prime is 2124506653. The reversal of 2124506640 is 466054212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2124506598 and 2124506607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353904 + ... + 359856.

Almost surely, 22124506640 is an apocalyptic number.

2124506640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2124506640 is an abundant number, since it is smaller than the sum of its proper divisors (4467000048).

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

2124506640 is a wasteful number, since it uses less digits than its factorization.

2124506640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7456 (or 7450 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2124506640 is about 46092.3707352963. The cubic root of 2124506640 is about 1285.5412921391.

The spelling of 2124506640 in words is "two billion, one hundred twenty-four million, five hundred six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1487 2974 4461 5948 5953 7435 8922 11896 11906 14870 17844 17859 22305 23792 23812 29740 29765 35688 35718 44610 47624 59480 59530 71376 71436 89220 89295 95248 118960 119060 142872 178440 178590 238120 285744 356880 357180 476240 714360 1428720 8852111 17704222 26556333 35408444 44260555 53112666 70816888 88521110 106225332 132781665 141633776 177042220 212450664 265563330 354084440 424901328 531126660 708168880 1062253320 2124506640