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4104290640 = 243521118101
BaseRepresentation
bin1111010010100010…
…1000000101010000
3101121000221120022110
43310220220011100
531401144300030
61515133105320
7203464615632
oct36450500520
911530846273
104104290640
11181684633a
12966628240
13505408158
142ad140a52
151904c61b0
hexf4a28150

4104290640 has 80 divisors (see below), whose sum is σ = 12730899456. Its totient is φ = 1093824000.

The previous prime is 4104290639. The next prime is 4104290657. The reversal of 4104290640 is 460924014.

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 = 4104290598 and 4104290607.

It is a congruent number.

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, 502590 + ... + 510690.

Almost surely, 24104290640 is an apocalyptic number.

4104290640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4104290640 is an abundant number, since it is smaller than the sum of its proper divisors (8626608816).

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

4104290640 is a wasteful number, since it uses less digits than its factorization.

4104290640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10228 (or 10222 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 4104290640 is about 64064.7378828635. The cubic root of 4104290640 is about 1601.0787828954.

The spelling of 4104290640 in words is "four billion, one hundred four million, two hundred ninety 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 2111 4222 6333 8101 8444 10555 12666 16202 16888 21110 24303 25332 31665 32404 33776 40505 42220 48606 50664 63330 64808 81010 84440 97212 101328 121515 126660 129616 162020 168880 194424 243030 253320 324040 388848 486060 506640 648080 972120 1944240 17101211 34202422 51303633 68404844 85506055 102607266 136809688 171012110 205214532 256518165 273619376 342024220 410429064 513036330 684048440 820858128 1026072660 1368096880 2052145320 4104290640