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749840 = 245713103
BaseRepresentation
bin10110111000100010000
31102002120212
42313010100
5142443330
624023252
76242060
oct2670420
91362525
10749840
11472403
12301b28
132033c0
141573a0
15ec295
hexb7110

749840 has 80 divisors (see below), whose sum is σ = 2166528. Its totient is φ = 235008.

The previous prime is 749809. The next prime is 749843. The reversal of 749840 is 48947.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 749797 and 749806.

It is not an unprimeable number, because it can be changed into a prime (749843) by changing a digit.

749840 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7229 + ... + 7331.

2749840 is an apocalyptic number.

749840 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 749840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083264).

749840 is an abundant number, since it is smaller than the sum of its proper divisors (1416688).

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

749840 is a wasteful number, since it uses less digits than its factorization.

749840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 749840 is about 865.9330228141. The cubic root of 749840 is about 90.8495683089.

The spelling of 749840 in words is "seven hundred forty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 103 104 112 130 140 182 206 208 260 280 364 412 455 515 520 560 721 728 824 910 1030 1040 1339 1442 1456 1648 1820 2060 2678 2884 3605 3640 4120 5356 5768 6695 7210 7280 8240 9373 10712 11536 13390 14420 18746 21424 26780 28840 37492 46865 53560 57680 74984 93730 107120 149968 187460 374920 749840