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2045730 = 235193797
BaseRepresentation
bin111110011011100100010
310211221012210
413303130202
51010430410
6111502550
723250141
oct7633442
93757183
102045730
111177a95
12827a56
135681bb
143b3758
152a6220
hex1f3722

2045730 has 64 divisors (see below), whose sum is σ = 5362560. Its totient is φ = 497664.

The previous prime is 2045713. The next prime is 2045731. The reversal of 2045730 is 375402.

It is a happy number.

It is a super-2 number, since 2×20457302 = 8370022465800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2045697 and 2045706.

It is not an unprimeable number, because it can be changed into a prime (2045731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21042 + ... + 21138.

It is an arithmetic number, because the mean of its divisors is an integer number (83790).

22045730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2045730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681280).

2045730 is an abundant number, since it is smaller than the sum of its proper divisors (3316830).

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

2045730 is a wasteful number, since it uses less digits than its factorization.

2045730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163.

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 2045730 is about 1430.2901803480. The cubic root of 2045730 is about 126.9451475358.

It can be divided in two parts, 2045 and 730, that added together give a triangular number (2775 = T74).

The spelling of 2045730 in words is "two million, forty-five thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 37 38 57 74 95 97 111 114 185 190 194 222 285 291 370 485 555 570 582 703 970 1110 1406 1455 1843 2109 2910 3515 3589 3686 4218 5529 7030 7178 9215 10545 10767 11058 17945 18430 21090 21534 27645 35890 53835 55290 68191 107670 136382 204573 340955 409146 681910 1022865 2045730