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2119152 = 243721753
BaseRepresentation
bin1000000101010111110000
310222122221010
420011113300
51020303102
6113230520
724004200
oct10052760
93878833
102119152
111218172
12862440
13592749
143d2400
152bcd6c
hex2055f0

2119152 has 120 divisors (see below), whose sum is σ = 6870096. Its totient is φ = 559104.

The previous prime is 2119147. The next prime is 2119157. The reversal of 2119152 is 2519112.

It is an interprime number because it is at equal distance from previous prime (2119147) and next prime (2119157).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2119157) 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, 39958 + ... + 40010.

22119152 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 2119152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435048).

2119152 is an abundant number, since it is smaller than the sum of its proper divisors (4750944).

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

2119152 is a wasteful number, since it uses less digits than its factorization.

2119152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 82 counting only the distinct ones).

The product of its digits is 180, while the sum is 21.

The square root of 2119152 is about 1455.7307443343. The cubic root of 2119152 is about 128.4460350648.

The spelling of 2119152 in words is "two million, one hundred nineteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 49 51 53 56 68 84 98 102 106 112 119 136 147 159 168 196 204 212 238 272 294 318 336 357 371 392 408 424 476 588 636 714 742 784 816 833 848 901 952 1113 1176 1272 1428 1484 1666 1802 1904 2226 2352 2499 2544 2597 2703 2856 2968 3332 3604 4452 4998 5194 5406 5712 5936 6307 6664 7208 7791 8904 9996 10388 10812 12614 13328 14416 15582 17808 18921 19992 20776 21624 25228 31164 37842 39984 41552 43248 44149 50456 62328 75684 88298 100912 124656 132447 151368 176596 264894 302736 353192 529788 706384 1059576 2119152