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270072036 = 2233131491291
BaseRepresentation
bin10000000110001…
…111100011100100
3200211012002012000
4100012033203210
51023114301121
642444325300
76456401013
oct2006174344
9624162160
10270072036
111294a3133
1276543830
1343c4c850
1427c22a7a
1518a9b526
hex1018f8e4

270072036 has 96 divisors (see below), whose sum is σ = 759696000. Its totient is φ = 82477440.

The previous prime is 270072029. The next prime is 270072037. The reversal of 270072036 is 630270072.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270072037) 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, 208551 + ... + 209841.

It is an arithmetic number, because the mean of its divisors is an integer number (7913500).

Almost surely, 2270072036 is an apocalyptic number.

270072036 is a gapful number since it is divisible by the number (26) 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 270072036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379848000).

270072036 is an abundant number, since it is smaller than the sum of its proper divisors (489623964).

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

270072036 is a wasteful number, since it uses less digits than its factorization.

270072036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 270072036 is about 16433.8685646442. The cubic root of 270072036 is about 646.3878822159.

The spelling of 270072036 in words is "two hundred seventy million, seventy-two thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 149 156 234 298 351 447 468 596 702 894 1291 1341 1404 1788 1937 2582 2682 3873 3874 4023 5164 5364 5811 7746 7748 8046 11619 11622 15492 16092 16783 17433 23238 23244 33566 34857 34866 46476 50349 52299 67132 69714 69732 100698 104598 139428 151047 192359 201396 209196 302094 384718 453141 577077 604188 769436 906282 1154154 1731231 1812564 2308308 2500667 3462462 5001334 5193693 6924924 7502001 10002668 10387386 15004002 20774772 22506003 30008004 45012006 67518009 90024012 135036018 270072036