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1972380 = 223571463
BaseRepresentation
bin111100001100010011100
310201012121010
413201202130
51001104010
6110135220
722523244
oct7414234
93635533
101972380
111127973
127b1510
135409b7
14394b24
1528e620
hex1e189c

1972380 has 48 divisors (see below), whose sum is σ = 5612544. Its totient is φ = 517440.

The previous prime is 1972379. The next prime is 1972381. The reversal of 1972380 is 832791.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1972379) and next prime (1972381).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4029 + ... + 4491.

It is an arithmetic number, because the mean of its divisors is an integer number (116928).

21972380 is an apocalyptic number.

1972380 is a gapful number since it is divisible by the number (10) 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 1972380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2806272).

1972380 is an abundant number, since it is smaller than the sum of its proper divisors (3640164).

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

1972380 is a wasteful number, since it uses less digits than its factorization.

1972380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 1972380 is about 1404.4144687378. The cubic root of 1972380 is about 125.4094308005.

The spelling of 1972380 in words is "one million, nine hundred seventy-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 463 710 852 926 1065 1389 1420 1852 2130 2315 2778 4260 4630 5556 6945 9260 13890 27780 32873 65746 98619 131492 164365 197238 328730 394476 493095 657460 986190 1972380