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2042373520 = 2451121012089
BaseRepresentation
bin111100110111100…
…0010010110010000
312021100002022202201
41321233002112100
513140321423040
6534355052544
7101416613515
oct17157022620
95240068681
102042373520
11958959500
1248bba1154
13267192355
1415536930c
15be482a9a
hex79bc2590

2042373520 has 120 divisors (see below), whose sum is σ = 5273646840. Its totient is φ = 734976000.

The previous prime is 2042373511. The next prime is 2042373533. The reversal of 2042373520 is 253732402.

It can be written as a sum of positive squares in 4 ways, for example, as 1115292816 + 927080704 = 33396^2 + 30448^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 976636 + ... + 978724.

It is an arithmetic number, because the mean of its divisors is an integer number (43947057).

Almost surely, 22042373520 is an apocalyptic number.

2042373520 is a gapful number since it is divisible by the number (20) 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 2042373520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636823420).

2042373520 is an abundant number, since it is smaller than the sum of its proper divisors (3231273320).

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

2042373520 is a wasteful number, since it uses less digits than its factorization.

2042373520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 2042373520 is about 45192.6268322610. The cubic root of 2042373520 is about 1268.7568217903.

The spelling of 2042373520 in words is "two billion, forty-two million, three hundred seventy-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 121 176 202 220 242 404 440 484 505 605 808 880 968 1010 1111 1210 1616 1936 2020 2089 2222 2420 4040 4178 4444 4840 5555 8080 8356 8888 9680 10445 11110 12221 16712 17776 20890 22220 22979 24442 33424 41780 44440 45958 48884 61105 83560 88880 91916 97768 114895 122210 167120 183832 195536 210989 229790 244420 252769 367664 421978 459580 488840 505538 843956 919160 977680 1011076 1054945 1263845 1687912 1838320 2022152 2109890 2320879 2527690 3375824 4044304 4219780 4641758 5055380 8439560 9283516 10110760 11604395 16879120 18567032 20221520 23208790 25529669 37134064 46417580 51059338 92835160 102118676 127648345 185670320 204237352 255296690 408474704 510593380 1021186760 2042373520