Search a number
-
+
2092128 = 253193137
BaseRepresentation
bin111111110110001100000
310221021212020
413332301200
51013422003
6112501440
723532333
oct7766140
93837766
102092128
1111a9935
1284a880
1358335c
143c661a
152b4d53
hex1fec60

2092128 has 96 divisors (see below), whose sum is σ = 6128640. Its totient is φ = 622080.

The previous prime is 2092099. The next prime is 2092133. The reversal of 2092128 is 8212902.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2092098 and 2092107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56526 + ... + 56562.

It is an arithmetic number, because the mean of its divisors is an integer number (63840).

22092128 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 2092128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064320).

2092128 is an abundant number, since it is smaller than the sum of its proper divisors (4036512).

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

2092128 is a wasteful number, since it uses less digits than its factorization.

2092128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2092128 is about 1446.4190264235. The cubic root of 2092128 is about 127.8977047276.

The spelling of 2092128 in words is "two million, ninety-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 37 38 48 57 62 74 76 93 96 111 114 124 148 152 186 222 228 248 296 304 372 444 456 496 589 592 608 703 744 888 912 992 1147 1178 1184 1406 1488 1767 1776 1824 2109 2294 2356 2812 2976 3441 3534 3552 4218 4588 4712 5624 6882 7068 8436 9176 9424 11248 13764 14136 16872 18352 18848 21793 22496 27528 28272 33744 36704 43586 55056 56544 65379 67488 87172 110112 130758 174344 261516 348688 523032 697376 1046064 2092128