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74206980 = 22325834967
BaseRepresentation
bin1000110110001…
…00111100000100
312011122002211200
410123010330010
5122444110410
611210302500
71560514611
oct433047404
9164562750
1074206980
1138984891
1220a27a30
13124b2673
149bd9508
1567ac3c0
hex46c4f04

74206980 has 72 divisors (see below), whose sum is σ = 227852352. Its totient is φ = 19546176.

The previous prime is 74206973. The next prime is 74206997. The reversal of 74206980 is 8960247.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12457 + ... + 17423.

It is an arithmetic number, because the mean of its divisors is an integer number (3164616).

Almost surely, 274206980 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 74206980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113926176).

74206980 is an abundant number, since it is smaller than the sum of its proper divisors (153645372).

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

74206980 is a wasteful number, since it uses less digits than its factorization.

74206980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5065 (or 5060 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 74206980 is about 8614.3473345344. The cubic root of 74206980 is about 420.2247096857.

It can be divided in two parts, 7420 and 6980, that added together give a square (14400 = 1202).

The spelling of 74206980 in words is "seventy-four million, two hundred six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 996 1245 1494 1660 2490 2988 3735 4967 4980 7470 9934 14901 14940 19868 24835 29802 44703 49670 59604 74505 89406 99340 149010 178812 223515 298020 412261 447030 824522 894060 1236783 1649044 2061305 2473566 3710349 4122610 4947132 6183915 7420698 8245220 12367830 14841396 18551745 24735660 37103490 74206980