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1972068 = 2237171381
BaseRepresentation
bin111100001011101100100
310201012011120
413201131210
51001101233
6110133540
722522320
oct7413544
93635146
101972068
11112770a
127b12b0
13540807
14394980
1528e4b3
hex1e1764

1972068 has 48 divisors (see below), whose sum is σ = 5572224. Its totient is φ = 529920.

The previous prime is 1972049. The next prime is 1972079. The reversal of 1972068 is 8602791.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 738 + ... + 2118.

It is an arithmetic number, because the mean of its divisors is an integer number (116088).

21972068 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 1972068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786112).

1972068 is an abundant number, since it is smaller than the sum of its proper divisors (3600156).

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

1972068 is a wasteful number, since it uses less digits than its factorization.

1972068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 1972068 is about 1404.3033860245. The cubic root of 1972068 is about 125.4028178412.

The spelling of 1972068 in words is "one million, nine hundred seventy-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1381 1428 2762 4143 5524 8286 9667 16572 19334 23477 29001 38668 46954 58002 70431 93908 116004 140862 164339 281724 328678 493017 657356 986034 1972068