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2078964 = 2232174379
BaseRepresentation
bin111111011100011110100
310220121210200
413323203310
51013011324
6112320500
723446056
oct7734364
93817720
102078964
11119aa58
12843130
1357a374
143c18d6
152b0ec9
hex1fb8f4

2078964 has 72 divisors (see below), whose sum is σ = 5765760. Its totient is φ = 628992.

The previous prime is 2078963. The next prime is 2078971. The reversal of 2078964 is 4698702.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2078963) 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, 26277 + ... + 26355.

It is an arithmetic number, because the mean of its divisors is an integer number (80080).

22078964 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 2078964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882880).

2078964 is an abundant number, since it is smaller than the sum of its proper divisors (3686796).

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

2078964 is a wasteful number, since it uses less digits than its factorization.

2078964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2078964 is about 1441.8612970740. The cubic root of 2078964 is about 127.6288892703.

The spelling of 2078964 in words is "two million, seventy-eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 43 51 68 79 86 102 129 153 158 172 204 237 258 306 316 387 474 516 612 711 731 774 948 1343 1422 1462 1548 2193 2686 2844 2924 3397 4029 4386 5372 6579 6794 8058 8772 10191 12087 13158 13588 16116 20382 24174 26316 30573 40764 48348 57749 61146 115498 122292 173247 230996 346494 519741 692988 1039482 2078964