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1966074096 = 243719307969
BaseRepresentation
bin111010100101111…
…1110100011110000
312002000111220122010
41311023332203300
513011303332341
6523031442520
766502232310
oct16513764360
95060456563
101966074096
11919885628
1246a526440
1325442946c
14149187440
15b7910716
hex752fe8f0

1966074096 has 80 divisors (see below), whose sum is σ = 6110124800. Its totient is φ = 532168704.

The previous prime is 1966074091. The next prime is 1966074101. The reversal of 1966074096 is 6904706691.

It is an interprime number because it is at equal distance from previous prime (1966074091) and next prime (1966074101).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1966074091) 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, 147601 + ... + 160368.

It is an arithmetic number, because the mean of its divisors is an integer number (76376560).

Almost surely, 21966074096 is an apocalyptic number.

1966074096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1966074096 is an abundant number, since it is smaller than the sum of its proper divisors (4144050704).

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

1966074096 is a wasteful number, since it uses less digits than its factorization.

1966074096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308006 (or 308000 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 1966074096 is about 44340.4340980104. The cubic root of 1966074096 is about 1252.7563911917.

The spelling of 1966074096 in words is "one billion, nine hundred sixty-six million, seventy-four thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6384 307969 615938 923907 1231876 1847814 2155783 2463752 3695628 4311566 4927504 5851411 6467349 7391256 8623132 11702822 12934698 14782512 17246264 17554233 23405644 25869396 34492528 35108466 40959877 46811288 51738792 70216932 81919754 93622576 103477584 122879631 140433864 163839508 245759262 280867728 327679016 491518524 655358032 983037048 1966074096