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1976821940 = 2251923376113
BaseRepresentation
bin111010111010011…
…1110100010110100
312002202201221220102
41311310332202310
513022031300230
6524054053232
766662465162
oct16564764264
95082657812
101976821940
11924956645
1247204a218
13256720532
1414a784232
15b8835045
hex75d3e8b4

1976821940 has 96 divisors (see below), whose sum is σ = 4683813120. Its totient is φ = 697061376.

The previous prime is 1976821907. The next prime is 1976821943. The reversal of 1976821940 is 491286791.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1976821943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320324 + ... + 326436.

It is an arithmetic number, because the mean of its divisors is an integer number (48789720).

Almost surely, 21976821940 is an apocalyptic number.

1976821940 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 1976821940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341906560).

1976821940 is an abundant number, since it is smaller than the sum of its proper divisors (2706991180).

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

1976821940 is a wasteful number, since it uses less digits than its factorization.

1976821940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6201 (or 6199 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 47.

The square root of 1976821940 is about 44461.4657878033. The cubic root of 1976821940 is about 1255.0350386772.

The spelling of 1976821940 in words is "one billion, nine hundred seventy-six million, eight hundred twenty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 19 20 23 37 38 46 74 76 92 95 115 148 185 190 230 370 380 437 460 703 740 851 874 1406 1702 1748 2185 2812 3404 3515 4255 4370 6113 7030 8510 8740 12226 14060 16169 17020 24452 30565 32338 61130 64676 80845 116147 122260 140599 161690 226181 232294 281198 323380 452362 464588 562396 580735 702995 904724 1130905 1161470 1405990 2261810 2322940 2671381 2811980 4297439 4523620 5202163 5342762 8594878 10404326 10685524 13356905 17189756 20808652 21487195 26010815 26713810 42974390 52021630 53427620 85948780 98841097 104043260 197682194 395364388 494205485 988410970 1976821940