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6100135680 = 28351588577
BaseRepresentation
bin1011010111001100…
…01010111100000000
3120202010111000000010
411223212022330000
544443113320210
62445151024520
7304111204062
oct55346127400
916663430003
106100135680
112650405251
121222b0b140
13762a59252
1441c237732
1525a817920
hex16b98af00

6100135680 has 72 divisors (see below), whose sum is σ = 19482320592. Its totient is φ = 1626701824.

The previous prime is 6100135669. The next prime is 6100135697. The reversal of 6100135680 is 865310016.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 790449 + ... + 798128.

It is an arithmetic number, because the mean of its divisors is an integer number (270587786).

Almost surely, 26100135680 is an apocalyptic number.

6100135680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6100135680 is an abundant number, since it is smaller than the sum of its proper divisors (13382184912).

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

6100135680 is a wasteful number, since it uses less digits than its factorization.

6100135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588601 (or 1588587 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 6100135680 is about 78103.3653564301. The cubic root of 6100135680 is about 1827.1736837077.

Adding to 6100135680 its reverse (865310016), we get a palindrome (6965445696).

The spelling of 6100135680 in words is "six billion, one hundred million, one hundred thirty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 1588577 3177154 4765731 6354308 7942885 9531462 12708616 15885770 19062924 23828655 25417232 31771540 38125848 47657310 50834464 63543080 76251696 95314620 101668928 127086160 152503392 190629240 203337856 254172320 305006784 381258480 406675712 508344640 610013568 762516960 1016689280 1220027136 1525033920 2033378560 3050067840 6100135680