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74937780 = 223253831087
BaseRepresentation
bin1000111011101…
…11010110110100
312020000020022100
410131313112310
5123141002110
611234102100
71566650331
oct435672664
9166006270
1074937780
1139333955
122111a930
13126aa1a8
149d49988
1568a3bc0
hex47775b4

74937780 has 72 divisors (see below), whose sum is σ = 228114432. Its totient is φ = 19912896.

The previous prime is 74937763. The next prime is 74937781. The reversal of 74937780 is 8773947.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74937781) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68397 + ... + 69483.

It is an arithmetic number, because the mean of its divisors is an integer number (3168256).

Almost surely, 274937780 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 74937780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114057216).

74937780 is an abundant number, since it is smaller than the sum of its proper divisors (153176652).

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

74937780 is a wasteful number, since it uses less digits than its factorization.

74937780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 74937780 is about 8656.6610191228. The cubic root of 74937780 is about 421.5996817639.

The spelling of 74937780 in words is "seventy-four million, nine hundred thirty-seven thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 383 766 1087 1149 1532 1915 2174 2298 3261 3447 3830 4348 4596 5435 5745 6522 6894 7660 9783 10870 11490 13044 13788 16305 17235 19566 21740 22980 32610 34470 39132 48915 65220 68940 97830 195660 416321 832642 1248963 1665284 2081605 2497926 3746889 4163210 4995852 6244815 7493778 8326420 12489630 14987556 18734445 24979260 37468890 74937780