Search a number
-
+
1970364 = 2231122359
BaseRepresentation
bin111100001000010111100
310201002211110
413201002330
51001022424
6110122020
722514334
oct7410274
93632743
101970364
111126400
127b0310
1353cac6
143940c4
1528dc29
hex1e10bc

1970364 has 72 divisors (see below), whose sum is σ = 5362560. Its totient is φ = 561440.

The previous prime is 1970363. The next prime is 1970369. The reversal of 1970364 is 4630791.

1970364 = T277 + T278 + ... + T320.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1970363) 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, 33367 + ... + 33425.

It is an arithmetic number, because the mean of its divisors is an integer number (74480).

21970364 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 1970364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681280).

1970364 is an abundant number, since it is smaller than the sum of its proper divisors (3392196).

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

1970364 is a wasteful number, since it uses less digits than its factorization.

1970364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 1970364 is about 1403.6965484035. The cubic root of 1970364 is about 125.3666885973.

The spelling of 1970364 in words is "one million, nine hundred seventy thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 59 66 69 92 118 121 132 138 177 236 242 253 276 354 363 484 506 649 708 726 759 1012 1298 1357 1452 1518 1947 2596 2714 2783 3036 3894 4071 5428 5566 7139 7788 8142 8349 11132 14278 14927 16284 16698 21417 28556 29854 33396 42834 44781 59708 85668 89562 164197 179124 328394 492591 656788 985182 1970364