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2077992 = 2332721931
BaseRepresentation
bin111111011010100101000
310220120110200
413323110220
51012443432
6112312200
723443200
oct7732450
93816420
102077992
11119a254
12842660
13579aa7
143c1400
152b0a7c
hex1fb528

2077992 has 144 divisors (see below), whose sum is σ = 7113600. Its totient is φ = 544320.

The previous prime is 2077987. The next prime is 2077993. The reversal of 2077992 is 2997702.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2077993) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67017 + ... + 67047.

It is an arithmetic number, because the mean of its divisors is an integer number (49400).

22077992 is an apocalyptic number.

2077992 is the 912-nd heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2077992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556800).

2077992 is an abundant number, since it is smaller than the sum of its proper divisors (5035608).

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

2077992 is a wasteful number, since it uses less digits than its factorization.

2077992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 2077992 is about 1441.5241933454. The cubic root of 2077992 is about 127.6089956086.

The spelling of 2077992 in words is "two million, seventy-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 31 36 38 42 49 56 57 62 63 72 76 84 93 98 114 124 126 133 147 152 168 171 186 196 217 228 248 252 266 279 294 342 372 392 399 434 441 456 504 532 558 588 589 651 684 744 798 868 882 931 1064 1116 1176 1178 1197 1302 1368 1519 1596 1736 1764 1767 1862 1953 2232 2356 2394 2604 2793 3038 3192 3528 3534 3724 3906 4123 4557 4712 4788 5208 5301 5586 6076 7068 7448 7812 8246 8379 9114 9576 10602 11172 12152 12369 13671 14136 15624 16492 16758 18228 21204 22344 24738 27342 28861 32984 33516 36456 37107 42408 49476 54684 57722 67032 74214 86583 98952 109368 115444 148428 173166 230888 259749 296856 346332 519498 692664 1038996 2077992