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452120880 = 24359719421
BaseRepresentation
bin11010111100101…
…101000100110000
31011111202010020210
4122330231010300
51411220332010
6112510304120
714126651451
oct3274550460
91144663223
10452120880
11212235122
121074b8040
1372890163
1444091128
1529a5bb20
hex1af2d130

452120880 has 80 divisors (see below), whose sum is σ = 1416096864. Its totient is φ = 119316480.

The previous prime is 452120839. The next prime is 452120887. The reversal of 452120880 is 88021254.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (452120887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13570 + ... + 32990.

Almost surely, 2452120880 is an apocalyptic number.

452120880 is a gapful number since it is divisible by the number (40) 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 452120880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708048432).

452120880 is an abundant number, since it is smaller than the sum of its proper divisors (963975984).

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

452120880 is a wasteful number, since it uses less digits than its factorization.

452120880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19534 (or 19528 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 452120880 is about 21263.1342938900. The cubic root of 452120880 is about 767.5114351411.

The spelling of 452120880 in words is "four hundred fifty-two million, one hundred twenty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 194 240 291 388 485 582 776 970 1164 1455 1552 1940 2328 2910 3880 4656 5820 7760 11640 19421 23280 38842 58263 77684 97105 116526 155368 194210 233052 291315 310736 388420 466104 582630 776840 932208 1165260 1553680 1883837 2330520 3767674 4661040 5651511 7535348 9419185 11303022 15070696 18838370 22606044 28257555 30141392 37676740 45212088 56515110 75353480 90424176 113030220 150706960 226060440 452120880