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966000640 = 21851167
BaseRepresentation
bin111001100101000…
…000000000000000
32111022200220202111
4321211000000000
53434244010030
6235504425104
732636604253
oct7145000000
92438626674
10966000640
11456311640
1222b618194
13125194a17
149241b09a
1559c1762a
hex39940000

966000640 has 152 divisors (see below), whose sum is σ = 2566909152. Its totient is φ = 346030080.

The previous prime is 966000617. The next prime is 966000649. The reversal of 966000640 is 46000669.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966000649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14417887 + ... + 14417953.

Almost surely, 2966000640 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 966000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283454576).

966000640 is an abundant number, since it is smaller than the sum of its proper divisors (1600908512).

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

966000640 is an frugal number, since it uses more digits than its factorization.

966000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 966000640 is about 31080.5508316696. The cubic root of 966000640 is about 988.5359579578.

The spelling of 966000640 in words is "nine hundred sixty-six million, six hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 67 80 88 110 128 134 160 176 220 256 268 320 335 352 440 512 536 640 670 704 737 880 1024 1072 1280 1340 1408 1474 1760 2048 2144 2560 2680 2816 2948 3520 3685 4096 4288 5120 5360 5632 5896 7040 7370 8192 8576 10240 10720 11264 11792 14080 14740 16384 17152 20480 21440 22528 23584 28160 29480 32768 34304 40960 42880 45056 47168 56320 58960 65536 68608 81920 85760 90112 94336 112640 117920 131072 137216 163840 171520 180224 188672 225280 235840 262144 274432 327680 343040 360448 377344 450560 471680 548864 655360 686080 720896 754688 901120 943360 1097728 1310720 1372160 1441792 1509376 1802240 1886720 2195456 2744320 2883584 3018752 3604480 3773440 4390912 5488640 6037504 7208960 7546880 8781824 10977280 12075008 14417920 15093760 17563648 21954560 24150016 30187520 43909120 48300032 60375040 87818240 96600064 120750080 193200128 241500160 483000320 966000640