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1000897716 = 2237213235693
BaseRepresentation
bin111011101010000…
…111110010110100
32120202100212112210
4323222013302310
54022212211331
6243152413420
733542330100
oct7352076264
92522325483
101000897716
11473a872a5
1223b247270
1312c492990
1496d02900
155cd0c446
hex3ba87cb4

1000897716 has 144 divisors (see below), whose sum is σ = 3053441664. Its totient is φ = 252451584.

The previous prime is 1000897697. The next prime is 1000897727. The reversal of 1000897716 is 6177980001.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 47 ways as a sum of consecutive naturals, for example, 172966 + ... + 178658.

It is an arithmetic number, because the mean of its divisors is an integer number (21204456).

Almost surely, 21000897716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000897716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526720832).

1000897716 is an abundant number, since it is smaller than the sum of its proper divisors (2052543948).

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

1000897716 is a wasteful number, since it uses less digits than its factorization.

1000897716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5750 (or 5741 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 39.

The square root of 1000897716 is about 31636.9675537969. The cubic root of 1000897716 is about 1000.2991491675.

The spelling of 1000897716 in words is "one billion, eight hundred ninety-seven thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 21 23 26 28 39 42 46 49 52 69 78 84 91 92 98 138 147 156 161 182 196 273 276 294 299 322 364 483 546 588 598 637 644 897 966 1092 1127 1196 1274 1794 1911 1932 2093 2254 2548 3381 3588 3822 4186 4508 5693 6279 6762 7644 8372 11386 12558 13524 14651 17079 22772 25116 29302 34158 39851 43953 58604 68316 74009 79702 87906 119553 130939 148018 159404 175812 222027 239106 261878 278957 296036 392817 444054 478212 518063 523756 557914 785634 836871 888108 916573 1036126 1115828 1554189 1571268 1673742 1702207 1833146 2072252 2749719 3108378 3347484 3404414 3626441 3666292 5106621 5499438 6216756 6416011 6808828 7252882 10213242 10879323 10998876 11915449 12832022 14505764 19248033 20426484 21758646 23830898 25664044 35746347 38496066 43517292 47661796 71492694 76992132 83408143 142985388 166816286 250224429 333632572 500448858 1000897716