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2101374090 = 23555914657
BaseRepresentation
bin111110101000000…
…0110110010001010
312102110002212100000
41331100012302022
513300422432330
6544303423430
7103034246034
oct17520066212
95373085300
102101374090
11989197502
124a78b4b76
1327647c42a
1415d126c54
15c4739560
hex7d406c8a

2101374090 has 96 divisors (see below), whose sum is σ = 5762352960. Its totient is φ = 550831104.

The previous prime is 2101373999. The next prime is 2101374101. The reversal of 2101374090 is 904731012.

It is a super-2 number, since 2×21013740902 = 8831546132246656200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136042 + ... + 150698.

It is an arithmetic number, because the mean of its divisors is an integer number (60024510).

Almost surely, 22101374090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101374090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2881176480).

2101374090 is an abundant number, since it is smaller than the sum of its proper divisors (3660978870).

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

2101374090 is a wasteful number, since it uses less digits than its factorization.

2101374090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14738 (or 14726 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2101374090 is about 45840.7470488865. The cubic root of 2101374090 is about 1280.8584106021.

The spelling of 2101374090 in words is "two billion, one hundred one million, three hundred seventy-four thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 81 90 118 135 162 177 243 270 295 354 405 486 531 590 810 885 1062 1215 1593 1770 2430 2655 3186 4779 5310 7965 9558 14337 14657 15930 23895 28674 29314 43971 47790 71685 73285 87942 131913 143370 146570 219855 263826 395739 439710 659565 791478 864763 1187217 1319130 1729526 1978695 2374434 2594289 3561651 3957390 4323815 5188578 5936085 7123302 7782867 8647630 11872170 12971445 15565734 17808255 23348601 25942890 35616510 38914335 46697202 70045803 77828670 116743005 140091606 210137409 233486010 350229015 420274818 700458030 1050687045 2101374090