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1976106096 = 2432194911471
BaseRepresentation
bin111010111001000…
…1111110001110000
312002201101120221200
41311302033301300
513021340343341
6524030451200
766653424156
oct16562176160
95081346850
101976106096
11924507838
12471963b00
1325652c763
1414a6393d6
15b8742db6
hex75c8fc70

1976106096 has 120 divisors (see below), whose sum is σ = 5837245440. Its totient is φ = 622339200.

The previous prime is 1976106073. The next prime is 1976106133. The reversal of 1976106096 is 6906016791.

It is a super-2 number, since 2×19761060962 = 7809990605296722432, which contains 22 as substring.

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, 1342641 + ... + 1344111.

It is an arithmetic number, because the mean of its divisors is an integer number (48643712).

Almost surely, 21976106096 is an apocalyptic number.

1976106096 is a gapful number since it is divisible by the number (16) 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 1976106096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918622720).

1976106096 is an abundant number, since it is smaller than the sum of its proper divisors (3861139344).

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

1976106096 is a wasteful number, since it uses less digits than its factorization.

1976106096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 1976106096 is about 44453.4148969458. The cubic root of 1976106096 is about 1254.8835298759.

The spelling of 1976106096 in words is "one billion, nine hundred seventy-six million, one hundred six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 491 684 912 982 1368 1471 1473 1964 2736 2942 2946 3928 4413 4419 5884 5892 7856 8826 8838 9329 11768 11784 13239 17652 17676 18658 23536 23568 26478 27949 27987 35304 35352 37316 52956 55898 55974 70608 70704 74632 83847 83961 105912 111796 111948 149264 167694 167922 211824 223592 223896 251541 335388 335844 447184 447792 503082 670776 671688 722261 1006164 1341552 1343376 1444522 2012328 2166783 2889044 4024656 4333566 5778088 6500349 8667132 11556176 13000698 13722959 17334264 26001396 27445918 34668528 41168877 52002792 54891836 82337754 104005584 109783672 123506631 164675508 219567344 247013262 329351016 494026524 658702032 988053048 1976106096