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2157792 = 253713219
BaseRepresentation
bin1000001110110011100000
311001121221020
420032303200
51023022132
6114125440
724224640
oct10166340
94047836
102157792
1112441aa
12880880
135a7200
14402520
152c952c
hex20ece0

2157792 has 144 divisors (see below), whose sum is σ = 7378560. Its totient is φ = 539136.

The previous prime is 2157787. The next prime is 2157797. The reversal of 2157792 is 2977512.

It is an interprime number because it is at equal distance from previous prime (2157787) and next prime (2157797).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2157797) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113559 + ... + 113577.

It is an arithmetic number, because the mean of its divisors is an integer number (51240).

22157792 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 2157792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689280).

2157792 is an abundant number, since it is smaller than the sum of its proper divisors (5220768).

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

2157792 is a wasteful number, since it uses less digits than its factorization.

2157792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 44 counting only the distinct ones).

The product of its digits is 8820, while the sum is 33.

The square root of 2157792 is about 1468.9424767499. The cubic root of 2157792 is about 129.2220201647. Note that the first 3 decimals are identical.

Adding to 2157792 its product of digits (8820), we get a palindrome (2166612).

The spelling of 2157792 in words is "two million, one hundred fifty-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 32 38 39 42 48 52 56 57 76 78 84 91 96 104 112 114 133 152 156 168 169 182 208 224 228 247 266 273 304 312 336 338 364 399 416 456 494 507 532 546 608 624 672 676 728 741 798 912 988 1014 1064 1092 1183 1248 1352 1456 1482 1596 1729 1824 1976 2028 2128 2184 2366 2704 2912 2964 3192 3211 3458 3549 3952 4056 4256 4368 4732 5187 5408 5928 6384 6422 6916 7098 7904 8112 8736 9464 9633 10374 11856 12768 12844 13832 14196 16224 18928 19266 20748 22477 23712 25688 27664 28392 37856 38532 41496 44954 51376 55328 56784 67431 77064 82992 89908 102752 113568 134862 154128 165984 179816 269724 308256 359632 539448 719264 1078896 2157792