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93996040 = 23519337367
BaseRepresentation
bin1011001101001…
…00010000001000
320112212111022211
411212210100020
5143030333130
613154354504
72220644635
oct546442010
9215774284
1093996040
1149070686
122758ba34
1316620a78
14c6ab18c
1583baa2a
hex59a4408

93996040 has 64 divisors (see below), whose sum is σ = 223891200. Its totient is φ = 35417088.

The previous prime is 93996029. The next prime is 93996053. The reversal of 93996040 is 4069939.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 93995984 and 93996002.

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, 255937 + ... + 256303.

It is an arithmetic number, because the mean of its divisors is an integer number (3498300).

Almost surely, 293996040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93996040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111945600).

93996040 is an abundant number, since it is smaller than the sum of its proper divisors (129895160).

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

93996040 is a wasteful number, since it uses less digits than its factorization.

93996040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 40.

The square root of 93996040 is about 9695.1554912750. The cubic root of 93996040 is about 454.6772093694.

The spelling of 93996040 in words is "ninety-three million, nine hundred ninety-six thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 337 367 380 674 734 760 1348 1468 1685 1835 2696 2936 3370 3670 6403 6740 6973 7340 12806 13480 13946 14680 25612 27892 32015 34865 51224 55784 64030 69730 123679 128060 139460 247358 256120 278920 494716 618395 989432 1236790 2349901 2473580 4699802 4947160 9399604 11749505 18799208 23499010 46998020 93996040