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5132135400 = 2335271221937
BaseRepresentation
bin1001100011110011…
…00010101111101000
3111020200000111020220
410301321202233220
541002311313100
62205131250040
7241115300610
oct46171425750
914220014226
105132135400
1121a3a58317
12bb28a9920
1363a344312
14369859a40
15200857aa0
hex131e62be8

5132135400 has 96 divisors (see below), whose sum is σ = 18182437440. Its totient is φ = 1173058560.

The previous prime is 5132135377. The next prime is 5132135413. The reversal of 5132135400 is 45312315.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 606769 + ... + 615168.

It is an arithmetic number, because the mean of its divisors is an integer number (189400390).

Almost surely, 25132135400 is an apocalyptic number.

5132135400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5132135400 is an abundant number, since it is smaller than the sum of its proper divisors (13050302040).

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

5132135400 is a wasteful number, since it uses less digits than its factorization.

5132135400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221963 (or 1221954 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 5132135400 is about 71638.9237775108. The cubic root of 5132135400 is about 1724.9083925307.

Adding to 5132135400 its reverse (45312315), we get a palindrome (5177447715).

The spelling of 5132135400 in words is "five billion, one hundred thirty-two million, one hundred thirty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 1221937 2443874 3665811 4887748 6109685 7331622 8553559 9775496 12219370 14663244 17107118 18329055 24438740 25660677 29326488 30548425 34214236 36658110 42767795 48877480 51321354 61096850 68428472 73316220 85535590 91645275 102642708 122193700 128303385 146632440 171071180 183290550 205285416 213838975 244387400 256606770 342142360 366581100 427677950 513213540 641516925 733162200 855355900 1026427080 1283033850 1710711800 2566067700 5132135400