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138350760 = 23351767819
BaseRepresentation
bin10000011111100…
…01000010101000
3100122022221120020
420033301002220
5240404211020
621421200440
73266650662
oct1017610250
9318287506
10138350760
1171105a79
123a400120
1322880772
1414535532
15c22cc40
hex83f10a8

138350760 has 64 divisors (see below), whose sum is σ = 439473600. Its totient is φ = 34722816.

The previous prime is 138350753. The next prime is 138350783. The reversal of 138350760 is 67053831.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31870 + ... + 35949.

It is an arithmetic number, because the mean of its divisors is an integer number (6866775).

Almost surely, 2138350760 is an apocalyptic number.

138350760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138350760 is an abundant number, since it is smaller than the sum of its proper divisors (301122840).

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

138350760 is a wasteful number, since it uses less digits than its factorization.

138350760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67850 (or 67846 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 138350760 is about 11762.2599869243. The cubic root of 138350760 is about 517.2023820223.

The spelling of 138350760 in words is "one hundred thirty-eight million, three hundred fifty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 67819 135638 203457 271276 339095 406914 542552 678190 813828 1017285 1152923 1356380 1627656 2034570 2305846 2712760 3458769 4069140 4611692 5764615 6917538 8138280 9223384 11529230 13835076 17293845 23058460 27670152 34587690 46116920 69175380 138350760