Search a number
-
+
102535552 = 277192317
BaseRepresentation
bin1100001110010…
…01000110000000
321010221100100001
412013021012000
5202222114202
614101405344
72353352320
oct607110600
9233840301
10102535552
1152973529
122a409854
1318320932
14d891280
159005d87
hex61c9180

102535552 has 96 divisors (see below), whose sum is σ = 247162320. Its totient is φ = 41499648.

The previous prime is 102535519. The next prime is 102535553. The reversal of 102535552 is 255535201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 102535552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102535553) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 323298 + ... + 323614.

Almost surely, 2102535552 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 102535552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123581160).

102535552 is an abundant number, since it is smaller than the sum of its proper divisors (144626768).

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

102535552 is an equidigital number, since it uses as much as digits as its factorization.

102535552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 28.

The square root of 102535552 is about 10125.9840015675. The cubic root of 102535552 is about 468.0491827436.

The spelling of 102535552 in words is "one hundred two million, five hundred thirty-five thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 317 361 448 532 608 634 722 896 1064 1216 1268 1444 2128 2219 2432 2527 2536 2888 4256 4438 5054 5072 5776 6023 8512 8876 10108 10144 11552 12046 17024 17752 20216 20288 23104 24092 35504 40432 40576 42161 46208 48184 71008 80864 84322 96368 114437 142016 161728 168644 192736 228874 284032 323456 337288 385472 457748 674576 770944 801059 915496 1349152 1602118 1830992 2698304 3204236 3661984 5396608 6408472 7323968 12816944 14647936 25633888 51267776 102535552