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5153320600 = 2352198316339
BaseRepresentation
bin1001100110010100…
…10110111010011000
3111022010212210212221
410303022112322120
541023222224400
62211205313424
7241463334211
oct46312267230
914263783787
105153320600
112204a0804a
12bb9a05874
1364185103c
1436c5b2408
1520263ec1a
hex133296e98

5153320600 has 96 divisors (see below), whose sum is σ = 12764808000. Its totient is φ = 1929191040.

The previous prime is 5153320573. The next prime is 5153320607. The reversal of 5153320600 is 60233515.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5153320607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307231 + ... + 323569.

It is an arithmetic number, because the mean of its divisors is an integer number (132966750).

Almost surely, 25153320600 is an apocalyptic number.

5153320600 is a gapful number since it is divisible by the number (50) 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 5153320600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6382404000).

5153320600 is an abundant number, since it is smaller than the sum of its proper divisors (7611487400).

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

5153320600 is a wasteful number, since it uses less digits than its factorization.

5153320600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16457 (or 16448 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 5153320600 is about 71786.6324603683. The cubic root of 5153320600 is about 1727.2785795655.

The spelling of 5153320600 in words is "five billion, one hundred fifty-three million, three hundred twenty thousand, six hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 83 95 100 152 166 190 200 332 380 415 475 664 760 830 950 1577 1660 1900 2075 3154 3320 3800 4150 6308 7885 8300 12616 15770 16339 16600 31540 32678 39425 63080 65356 78850 81695 130712 157700 163390 310441 315400 326780 408475 620882 653560 816950 1241764 1356137 1552205 1633900 2483528 2712274 3104410 3267800 5424548 6208820 6780685 7761025 10849096 12417640 13561370 15522050 25766603 27122740 31044100 33903425 51533206 54245480 62088200 67806850 103066412 128833015 135613700 206132824 257666030 271227400 515332060 644165075 1030664120 1288330150 2576660300 5153320600