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96553980 = 2232547101113
BaseRepresentation
bin1011100000101…
…00101111111100
320201200110011100
411300110233330
5144204211410
613325253100
72251460325
oct560245774
9221613140
1096553980
114a558486
1228404190
1317008143
14cb7544c
1587238c0
hex5c14bfc

96553980 has 144 divisors (see below), whose sum is σ = 304746624. Its totient is φ = 24729600.

The previous prime is 96553967. The next prime is 96553981. The reversal of 96553980 is 8935569.

96553980 is a `hidden beast` number, since 9 + 6 + 553 + 98 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96553981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 854404 + ... + 854516.

It is an arithmetic number, because the mean of its divisors is an integer number (2116296).

Almost surely, 296553980 is an apocalyptic number.

96553980 is a gapful number since it is divisible by the number (90) 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 96553980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152373312).

96553980 is an abundant number, since it is smaller than the sum of its proper divisors (208192644).

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

96553980 is a wasteful number, since it uses less digits than its factorization.

96553980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 96553980 is about 9826.1884777364. The cubic root of 96553980 is about 458.7647704659.

It can be divided in two parts, 965 and 53980, that added together give a palindrome (54945).

The spelling of 96553980 in words is "ninety-six million, five hundred fifty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 101 113 141 180 188 202 226 235 282 303 339 404 423 452 470 505 564 565 606 678 705 846 909 940 1010 1017 1130 1212 1356 1410 1515 1692 1695 1818 2020 2034 2115 2260 2820 3030 3390 3636 4068 4230 4545 4747 5085 5311 6060 6780 8460 9090 9494 10170 10622 11413 14241 15933 18180 18988 20340 21244 22826 23735 26555 28482 31866 34239 42723 45652 47470 47799 53110 56964 57065 63732 68478 71205 79665 85446 94940 95598 102717 106220 114130 136956 142410 159330 170892 171195 191196 205434 213615 228260 238995 284820 318660 342390 410868 427230 477990 513585 536411 684780 854460 955980 1027170 1072822 1609233 2054340 2145644 2682055 3218466 4827699 5364110 6436932 8046165 9655398 10728220 16092330 19310796 24138495 32184660 48276990 96553980