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6620150040 = 2335710178031
BaseRepresentation
bin1100010101001011…
…10111100100011000
3122002100222110121020
412022211313210120
5102024224300130
63012524442440
7323024226660
oct61245674430
918070873536
106620150040
1128979a1789
1213490a9420
138166cb15a
1446b31d1a0
1528b2d5e10
hex18a977918

6620150040 has 128 divisors (see below), whose sum is σ = 22922680320. Its totient is φ = 1498176000.

The previous prime is 6620149973. The next prime is 6620150059. The reversal of 6620150040 is 400510266.

It is a super-2 number, since 2×66201500402 = 87652773104224003200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45825 + ... + 123855.

It is an arithmetic number, because the mean of its divisors is an integer number (179083440).

Almost surely, 26620150040 is an apocalyptic number.

6620150040 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 6620150040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11461340160).

6620150040 is an abundant number, since it is smaller than the sum of its proper divisors (16302530280).

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

6620150040 is a wasteful number, since it uses less digits than its factorization.

6620150040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78153 (or 78149 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 6620150040 is about 81364.3044584049. The cubic root of 6620150040 is about 1877.6844548957.

The spelling of 6620150040 in words is "six billion, six hundred twenty million, one hundred fifty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 101 105 120 140 168 202 210 280 303 404 420 505 606 707 808 840 1010 1212 1414 1515 2020 2121 2424 2828 3030 3535 4040 4242 5656 6060 7070 8484 10605 12120 14140 16968 21210 28280 42420 78031 84840 156062 234093 312124 390155 468186 546217 624248 780310 936372 1092434 1170465 1560620 1638651 1872744 2184868 2340930 2731085 3121240 3277302 4369736 4681860 5462170 6554604 7881131 8193255 9363720 10924340 13109208 15762262 16386510 21848680 23643393 31524524 32773020 39405655 47286786 55167917 63049048 65546040 78811310 94573572 110335834 118216965 157622620 165503751 189147144 220671668 236433930 275839585 315245240 331007502 441343336 472867860 551679170 662015004 827518755 945735720 1103358340 1324030008 1655037510 2206716680 3310075020 6620150040