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2121466540 = 225596129473
BaseRepresentation
bin111111001110011…
…0000001010101100
312110211220122222211
41332130300022230
513321043412130
6550302220204
7103400111434
oct17634601254
95424818884
102121466540
11999570236
124b2584664
1327a69595b
14161a772c4
15c63a7a2a
hex7e7302ac

2121466540 has 48 divisors (see below), whose sum is σ = 4605017760. Its totient is φ = 820500480.

The previous prime is 2121466537. The next prime is 2121466541. The reversal of 2121466540 is 456641212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2121466541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57244 + ... + 86716.

It is an arithmetic number, because the mean of its divisors is an integer number (95937870).

Almost surely, 22121466540 is an apocalyptic number.

2121466540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121466540 is an abundant number, since it is smaller than the sum of its proper divisors (2483551220).

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

2121466540 is a wasteful number, since it uses less digits than its factorization.

2121466540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29602 (or 29600 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 2121466540 is about 46059.3805863692. The cubic root of 2121466540 is about 1284.9278101431.

The spelling of 2121466540 in words is "two billion, one hundred twenty-one million, four hundred sixty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 59 61 118 122 236 244 295 305 590 610 1180 1220 3599 7198 14396 17995 29473 35990 58946 71980 117892 147365 294730 589460 1738907 1797853 3477814 3595706 6955628 7191412 8694535 8989265 17389070 17978530 34778140 35957060 106073327 212146654 424293308 530366635 1060733270 2121466540