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1972677084 = 223727942467
BaseRepresentation
bin111010110010100…
…1010100111011100
312002110221101020020
41311211022213130
513020001131314
6523425152140
766612323100
oct16545124734
95073841206
101972677084
11922585544
1247078b650
132558cba61
14149dc5900
15b82b6da9
hex7594a9dc

1972677084 has 72 divisors (see below), whose sum is σ = 5422314240. Its totient is φ = 556474464.

The previous prime is 1972677053. The next prime is 1972677097. The reversal of 1972677084 is 4807762791.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25219 + ... + 67685.

It is an arithmetic number, because the mean of its divisors is an integer number (75309920).

Almost surely, 21972677084 is an apocalyptic number.

1972677084 is a gapful number since it is divisible by the number (14) 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 1972677084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711157120).

1972677084 is an abundant number, since it is smaller than the sum of its proper divisors (3449637156).

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

1972677084 is a wasteful number, since it uses less digits than its factorization.

1972677084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42567 (or 42558 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 51.

The square root of 1972677084 is about 44414.8295505004. The cubic root of 1972677084 is about 1254.1572696129.

The spelling of 1972677084 in words is "one billion, nine hundred seventy-two million, six hundred seventy-seven thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 79 84 98 147 158 196 237 294 316 474 553 588 948 1106 1659 2212 3318 3871 6636 7742 11613 15484 23226 42467 46452 84934 127401 169868 254802 297269 509604 594538 891807 1189076 1783614 2080883 3354893 3567228 4161766 6242649 6709786 8323532 10064679 12485298 13419572 20129358 23484251 24970596 40258716 46968502 70452753 93937004 140905506 164389757 281811012 328779514 493169271 657559028 986338542 1972677084