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2100749440 = 27519172759
BaseRepresentation
bin111110100110110…
…1110010010000000
312102101221010110211
41331031232102000
513300242440230
6544242203504
7103026034636
oct17515562200
95371833424
102100749440
11988900169
124a7653594
132762c100a
1415d003356
15c466442a
hex7d36e480

2100749440 has 64 divisors (see below), whose sum is σ = 5286456000. Its totient is φ = 796068864.

The previous prime is 2100749437. The next prime is 2100749461. The reversal of 2100749440 is 449470012.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74220 + ... + 98539.

It is an arithmetic number, because the mean of its divisors is an integer number (82600875).

Almost surely, 22100749440 is an apocalyptic number.

2100749440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100749440 is an abundant number, since it is smaller than the sum of its proper divisors (3185706560).

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

2100749440 is a wasteful number, since it uses less digits than its factorization.

2100749440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172797 (or 172785 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 2100749440 is about 45833.9332809219. The cubic root of 2100749440 is about 1280.7314829407.

The spelling of 2100749440 in words is "two billion, one hundred million, seven hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 608 640 760 1216 1520 2432 3040 6080 12160 172759 345518 691036 863795 1382072 1727590 2764144 3282421 3455180 5528288 6564842 6910360 11056576 13129684 13820720 16412105 22113152 26259368 27641440 32824210 52518736 55282880 65648420 105037472 110565760 131296840 210074944 262593680 420149888 525187360 1050374720 2100749440