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2135952 = 2432713163
BaseRepresentation
bin1000001001011110010000
311000111222100
420021132100
51021322302
6113440400
724104160
oct10113620
94014870
102135952
111229855
12870100
1359a2a0
143d85a0
152c2d1c
hex209790

2135952 has 120 divisors (see below), whose sum is σ = 7402304. Its totient is φ = 559872.

The previous prime is 2135951. The next prime is 2135957. The reversal of 2135952 is 2595312.

It is not an unprimeable number, because it can be changed into a prime (2135951) 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, 13023 + ... + 13185.

22135952 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 2135952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701152).

2135952 is an abundant number, since it is smaller than the sum of its proper divisors (5266352).

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

2135952 is a wasteful number, since it uses less digits than its factorization.

2135952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 188 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 2135952 is about 1461.4896510068. The cubic root of 2135952 is about 128.7845692199.

The spelling of 2135952 in words is "two million, one hundred thirty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 163 168 182 208 234 252 273 312 326 336 364 468 489 504 546 624 652 728 819 936 978 1008 1092 1141 1304 1456 1467 1638 1872 1956 2119 2184 2282 2608 2934 3276 3423 3912 4238 4368 4564 5868 6357 6552 6846 7824 8476 9128 10269 11736 12714 13104 13692 14833 16952 18256 19071 20538 23472 25428 27384 29666 33904 38142 41076 44499 50856 54768 59332 76284 82152 88998 101712 118664 133497 152568 164304 177996 237328 266994 305136 355992 533988 711984 1067976 2135952