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71499840 = 2635711049
BaseRepresentation
bin1000100001100…
…00000001000000
311222112120100020
410100300001000
5121300443330
611032253440
71525511226
oct420600100
9158476306
1071499840
11373a5985
121bb41280
1311a753c9
1496d2b16
156425210
hex4430040

71499840 has 112 divisors (see below), whose sum is σ = 230428800. Its totient is φ = 18780160.

The previous prime is 71499839. The next prime is 71499863. The reversal of 71499840 is 4899417.

It is a super-2 number, since 2×714998402 = 10224454240051200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 71499792 and 71499801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67636 + ... + 68684.

It is an arithmetic number, because the mean of its divisors is an integer number (2057400).

Almost surely, 271499840 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 71499840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115214400).

71499840 is an abundant number, since it is smaller than the sum of its proper divisors (158928960).

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

71499840 is a wasteful number, since it uses less digits than its factorization.

71499840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 71499840 is about 8455.7578016403. The cubic root of 71499840 is about 415.0512154337.

The spelling of 71499840 in words is "seventy-one million, four hundred ninety-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 120 142 160 192 213 240 284 320 355 426 480 568 710 852 960 1049 1065 1136 1420 1704 2098 2130 2272 2840 3147 3408 4196 4260 4544 5245 5680 6294 6816 8392 8520 10490 11360 12588 13632 15735 16784 17040 20980 22720 25176 31470 33568 34080 41960 50352 62940 67136 68160 74479 83920 100704 125880 148958 167840 201408 223437 251760 297916 335680 372395 446874 503520 595832 744790 893748 1007040 1117185 1191664 1489580 1787496 2234370 2383328 2979160 3574992 4468740 4766656 5958320 7149984 8937480 11916640 14299968 17874960 23833280 35749920 71499840