Search a number
-
+
96923640 = 233511101727
BaseRepresentation
bin1011100011011…
…10111111111000
320202101020020110
411301232333320
5144303024030
613341224320
72254560132
oct561567770
9222336213
1096923640
114a790190
12285620a0
1317107488
14cc30052
1587981b0
hex5c6eff8

96923640 has 128 divisors (see below), whose sum is σ = 320785920. Its totient is φ = 23232000.

The previous prime is 96923623. The next prime is 96923641. The reversal of 96923640 is 4632969.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96923641) 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, 132957 + ... + 133683.

It is an arithmetic number, because the mean of its divisors is an integer number (2506140).

Almost surely, 296923640 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 96923640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960).

96923640 is an abundant number, since it is smaller than the sum of its proper divisors (223862280).

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

96923640 is a wasteful number, since it uses less digits than its factorization.

96923640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 96923640 is about 9844.9804469080. The cubic root of 96923640 is about 459.3494900916.

The spelling of 96923640 in words is "ninety-six million, nine hundred twenty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 101 110 120 132 165 202 220 264 303 330 404 440 505 606 660 727 808 1010 1111 1212 1320 1454 1515 2020 2181 2222 2424 2908 3030 3333 3635 4040 4362 4444 5555 5816 6060 6666 7270 7997 8724 8888 10905 11110 12120 13332 14540 15994 16665 17448 21810 22220 23991 26664 29080 31988 33330 39985 43620 44440 47982 63976 66660 73427 79970 87240 95964 119955 133320 146854 159940 191928 220281 239910 293708 319880 367135 440562 479820 587416 734270 807697 881124 959640 1101405 1468540 1615394 1762248 2202810 2423091 2937080 3230788 4038485 4405620 4846182 6461576 8076970 8811240 9692364 12115455 16153940 19384728 24230910 32307880 48461820 96923640