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6105556020 = 2235316195303
BaseRepresentation
bin1011010111110101…
…10110010000110100
3120202111200101022110
411223322312100310
5100001010243040
62445503131020
7304205240604
oct55372662064
916674611273
106105556020
112653477673
1212248a3a70
13763c06455
1441cc48c04
1525b038980
hex16beb6434

6105556020 has 96 divisors (see below), whose sum is σ = 17678868480. Its totient is φ = 1572785280.

The previous prime is 6105556019. The next prime is 6105556021. The reversal of 6105556020 is 206555016.

It is an interprime number because it is at equal distance from previous prime (6105556019) and next prime (6105556021).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6105556021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1148689 + ... + 1153991.

It is an arithmetic number, because the mean of its divisors is an integer number (184154880).

Almost surely, 26105556020 is an apocalyptic number.

6105556020 is a gapful number since it is divisible by the number (60) 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 6105556020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8839434240).

6105556020 is an abundant number, since it is smaller than the sum of its proper divisors (11573312460).

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

6105556020 is a wasteful number, since it uses less digits than its factorization.

6105556020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5965 (or 5963 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 6105556020 is about 78138.0574368214. The cubic root of 6105556020 is about 1827.7147083213.

The spelling of 6105556020 in words is "six billion, one hundred five million, five hundred fifty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 619 620 930 1238 1857 1860 2476 3095 3714 5303 6190 7428 9285 10606 12380 15909 18570 19189 21212 26515 31818 37140 38378 53030 57567 63636 76756 79545 95945 106060 115134 159090 164393 191890 230268 287835 318180 328786 383780 493179 575670 657572 821965 986358 1151340 1643930 1972716 2465895 3282557 3287860 4931790 6565114 9847671 9863580 13130228 16412785 19695342 32825570 39390684 49238355 65651140 98476710 101759267 196953420 203518534 305277801 407037068 508796335 610555602 1017592670 1221111204 1526389005 2035185340 3052778010 6105556020