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71640420 = 22356771251
BaseRepresentation
bin1000100010100…
…10010101100100
311222210201011220
410101102111210
5121314443140
611035300340
71526635125
oct421222544
9158721156
1071640420
1137491565
121bbaa6b0
1311ac43a7
14972c04c
156451bd0
hex4452564

71640420 has 96 divisors (see below), whose sum is σ = 207277056. Its totient is φ = 18480000.

The previous prime is 71640419. The next prime is 71640421. The reversal of 71640420 is 2404617.

It is an interprime number because it is at equal distance from previous prime (71640419) and next prime (71640421).

It is not an unprimeable number, because it can be changed into a prime (71640421) 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, 285295 + ... + 285545.

It is an arithmetic number, because the mean of its divisors is an integer number (2159136).

Almost surely, 271640420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71640420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103638528).

71640420 is an abundant number, since it is smaller than the sum of its proper divisors (135636636).

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

71640420 is a wasteful number, since it uses less digits than its factorization.

71640420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 71640420 is about 8464.0663986053. The cubic root of 71640420 is about 415.3230561408.

The spelling of 71640420 in words is "seventy-one million, six hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 71 134 142 201 213 251 268 284 335 355 402 426 502 670 710 753 804 852 1004 1005 1065 1255 1340 1420 1506 2010 2130 2510 3012 3765 4020 4260 4757 5020 7530 9514 14271 15060 16817 17821 19028 23785 28542 33634 35642 47570 50451 53463 57084 67268 71284 71355 84085 89105 95140 100902 106926 142710 168170 178210 201804 213852 252255 267315 285420 336340 356420 504510 534630 1009020 1069260 1194007 2388014 3582021 4776028 5970035 7164042 11940070 14328084 17910105 23880140 35820210 71640420