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76249140 = 223511235023
BaseRepresentation
bin1001000101101…
…11100000110100
312022110212011020
410202313200310
5124004433030
611322141140
71614051462
oct442674064
9168425136
1076249140
113a04a120
12216517b0
1312a49046
14a1ab832
156a62510
hex48b7834

76249140 has 96 divisors (see below), whose sum is σ = 243081216. Its totient is φ = 17677440.

The previous prime is 76249133. The next prime is 76249169. The reversal of 76249140 is 4194267.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12669 + ... + 17691.

It is an arithmetic number, because the mean of its divisors is an integer number (2532096).

Almost surely, 276249140 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 76249140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121540608).

76249140 is an abundant number, since it is smaller than the sum of its proper divisors (166832076).

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

76249140 is a wasteful number, since it uses less digits than its factorization.

76249140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5069 (or 5067 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 76249140 is about 8732.0753546909. The cubic root of 76249140 is about 424.0447101897.

The spelling of 76249140 in words is "seventy-six million, two hundred forty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2530 3036 3795 5023 5060 7590 10046 15069 15180 20092 25115 30138 50230 55253 60276 75345 100460 110506 115529 150690 165759 221012 231058 276265 301380 331518 346587 462116 552530 577645 663036 693174 828795 1105060 1155290 1270819 1386348 1657590 1732935 2310580 2541638 3315180 3465870 3812457 5083276 6354095 6931740 7624914 12708190 15249828 19062285 25416380 38124570 76249140