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2119392 = 253311223
BaseRepresentation
bin1000000101011011100000
310222200021000
420011123200
51020310032
6113232000
724004662
oct10053340
93880230
102119392
111218370
12862600
135928a2
143d2532
152bce7c
hex2056e0

2119392 has 96 divisors (see below), whose sum is σ = 6773760. Its totient is φ = 639360.

The previous prime is 2119379. The next prime is 2119399. The reversal of 2119392 is 2939112.

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 (27).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2119399) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9393 + ... + 9615.

It is an arithmetic number, because the mean of its divisors is an integer number (70560).

22119392 is an apocalyptic number.

2119392 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2119392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386880).

2119392 is an abundant number, since it is smaller than the sum of its proper divisors (4654368).

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

2119392 is a wasteful number, since it uses less digits than its factorization.

2119392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 239 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 2119392 is about 1455.8131748270. The cubic root of 2119392 is about 128.4508838416.

The spelling of 2119392 in words is "two million, one hundred nineteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 223 264 288 297 352 396 432 446 528 594 669 792 864 892 1056 1188 1338 1584 1784 2007 2376 2453 2676 3168 3568 4014 4752 4906 5352 6021 7136 7359 8028 9504 9812 10704 12042 14718 16056 19624 21408 22077 24084 29436 32112 39248 44154 48168 58872 64224 66231 78496 88308 96336 117744 132462 176616 192672 235488 264924 353232 529848 706464 1059696 2119392