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3898632720 = 243571228793
BaseRepresentation
bin1110100001100000…
…0110101000010000
3101001200222001200110
43220120012220100
530441022221340
61442505121320
7165416555103
oct35030065020
911050861613
103898632720
111720749514
12909789240
134a191c788
1428dac873a
1517c400680
hexe8606a10

3898632720 has 80 divisors (see below), whose sum is σ = 12256036992. Its totient is φ = 1024988160.

The previous prime is 3898632653. The next prime is 3898632721. The reversal of 3898632720 is 272368983.

It is a happy number.

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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3898632720.

It is not an unprimeable number, because it can be changed into a prime (3898632721) by changing a digit.

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, 97357 + ... + 131436.

Almost surely, 23898632720 is an apocalyptic number.

3898632720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3898632720 is an abundant number, since it is smaller than the sum of its proper divisors (8357404272).

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

3898632720 is a wasteful number, since it uses less digits than its factorization.

3898632720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228880 (or 228874 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 3898632720 is about 62439.0320232465. The cubic root of 3898632720 is about 1573.8769479506.

The spelling of 3898632720 in words is "three billion, eight hundred ninety-eight million, six hundred thirty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3408 4260 5680 8520 17040 228793 457586 686379 915172 1143965 1372758 1830344 2287930 2745516 3431895 3660688 4575860 5491032 6863790 9151720 10982064 13727580 16244303 18303440 27455160 32488606 48732909 54910320 64977212 81221515 97465818 129954424 162443030 194931636 243664545 259908848 324886060 389863272 487329090 649772120 779726544 974658180 1299544240 1949316360 3898632720