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71253420 = 22357198929
BaseRepresentation
bin1000011111100…
…11110110101100
311222002001022120
410033303312230
5121220102140
611023112540
71523433630
oct417636654
9158061276
1071253420
1137247827
121ba42750
13119ba1b4
14966adc0
1563c71d0
hex43f3dac

71253420 has 96 divisors (see below), whose sum is σ = 240038400. Its totient is φ = 15427584.

The previous prime is 71253397. The next prime is 71253433. The reversal of 71253420 is 2435217.

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, 3516 + ... + 12444.

It is an arithmetic number, because the mean of its divisors is an integer number (2500400).

Almost surely, 271253420 is an apocalyptic number.

71253420 is a gapful number since it is divisible by the number (70) 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 71253420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120019200).

71253420 is an abundant number, since it is smaller than the sum of its proper divisors (168784980).

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

71253420 is a wasteful number, since it uses less digits than its factorization.

71253420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8967 (or 8965 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 71253420 is about 8441.1740889523. The cubic root of 71253420 is about 414.5738500618.

Adding to 71253420 its reverse (2435217), we get a palindrome (73688637).

The spelling of 71253420 in words is "seventy-one million, two hundred fifty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 380 399 420 532 570 665 798 1140 1330 1596 1995 2660 3990 7980 8929 17858 26787 35716 44645 53574 62503 89290 107148 125006 133935 169651 178580 187509 250012 267870 312515 339302 375018 508953 535740 625030 678604 750036 848255 937545 1017906 1187557 1250060 1696510 1875090 2035812 2375114 2544765 3393020 3562671 3750180 4750228 5089530 5937785 7125342 10179060 11875570 14250684 17813355 23751140 35626710 71253420