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2096952 = 2331113247
BaseRepresentation
bin111111111111100111000
310221112110220
413333330320
51014100302
6112540040
723552364
oct7777470
93845426
102096952
111202520
12851620
13585600
143c82a4
152b64bc
hex1fff38

2096952 has 96 divisors (see below), whose sum is σ = 6324480. Its totient is φ = 574080.

The previous prime is 2096947. The next prime is 2096957. The reversal of 2096952 is 2596902.

It is an interprime number because it is at equal distance from previous prime (2096947) and next prime (2096957).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2096957) 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, 44593 + ... + 44639.

It is an arithmetic number, because the mean of its divisors is an integer number (65880).

22096952 is an apocalyptic number.

2096952 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 2096952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162240).

2096952 is an abundant number, since it is smaller than the sum of its proper divisors (4227528).

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

2096952 is a wasteful number, since it uses less digits than its factorization.

2096952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 2096952 is about 1448.0856328270. The cubic root of 2096952 is about 127.9959308602.

The spelling of 2096952 in words is "two million, ninety-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 47 52 66 78 88 94 104 132 141 143 156 169 188 264 282 286 312 338 376 429 507 517 564 572 611 676 858 1014 1034 1128 1144 1222 1352 1551 1716 1833 1859 2028 2068 2444 3102 3432 3666 3718 4056 4136 4888 5577 6204 6721 7332 7436 7943 11154 12408 13442 14664 14872 15886 20163 22308 23829 26884 31772 40326 44616 47658 53768 63544 80652 87373 95316 161304 174746 190632 262119 349492 524238 698984 1048476 2096952