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83736990 = 2345195441
BaseRepresentation
bin1001111110110…
…11100110011110
312211120021120000
410333123212132
5132414040430
612150435130
72034516111
oct477334636
9184507500
1083736990
11432a3927
1224062aa6
131446b31c
14b19a578
157540e60
hex4fdb99e

83736990 has 80 divisors (see below), whose sum is σ = 237053520. Its totient is φ = 21150720.

The previous prime is 83736977. The next prime is 83737001. The reversal of 83736990 is 9963738.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12670 + ... + 18110.

It is an arithmetic number, because the mean of its divisors is an integer number (2963169).

Almost surely, 283736990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83736990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118526760).

83736990 is an abundant number, since it is smaller than the sum of its proper divisors (153316530).

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

83736990 is a wasteful number, since it uses less digits than its factorization.

83736990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5479 (or 5470 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 83736990 is about 9150.7917690220. The cubic root of 83736990 is about 437.4943498590.

The spelling of 83736990 in words is "eighty-three million, seven hundred thirty-six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 405 513 570 810 855 1026 1539 1710 2565 3078 5130 5441 7695 10882 15390 16323 27205 32646 48969 54410 81615 97938 103379 146907 163230 206758 244845 293814 310137 440721 489690 516895 620274 734535 881442 930411 1033790 1469070 1550685 1860822 2203605 2791233 3101370 4407210 4652055 5582466 8373699 9304110 13956165 16747398 27912330 41868495 83736990