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1972314 = 232197379
BaseRepresentation
bin111100001100001011010
310201012111200
413201201122
51001103224
6110135030
722523121
oct7414132
93635450
101972314
111127913
127b1476
13540966
14394ab8
1528e5c9
hex1e185a

1972314 has 48 divisors (see below), whose sum is σ = 4617600. Its totient is φ = 606528.

The previous prime is 1972307. The next prime is 1972343. The reversal of 1972314 is 4132791.

1972314 = T195 + T196 + ... + T267.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24927 + ... + 25005.

It is an arithmetic number, because the mean of its divisors is an integer number (96200).

21972314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1972314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308800).

1972314 is an abundant number, since it is smaller than the sum of its proper divisors (2645286).

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

1972314 is a wasteful number, since it uses less digits than its factorization.

1972314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 176 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 1972314 is about 1404.3909712042. The cubic root of 1972314 is about 125.4080319634.

It can be divided in two parts, 1 and 972314, that added together give a triangular number (972315 = T1394).

The spelling of 1972314 in words is "one million, nine hundred seventy-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 73 79 114 146 158 171 219 237 342 438 474 657 711 1314 1387 1422 1501 2774 3002 4161 4503 5767 8322 9006 11534 12483 13509 17301 24966 27018 34602 51903 103806 109573 219146 328719 657438 986157 1972314