Search a number
-
+
100047480 = 233513591087
BaseRepresentation
bin1011111011010…
…01101001111000
320222020221100020
411331221221320
5201103004410
613532210440
72323250421
oct575515170
9228227306
10100047480
1151524175
1229609a20
131795c2c0
14d404648
158bb3a70
hex5f69a78

100047480 has 128 divisors (see below), whose sum is σ = 329011200. Its totient is φ = 24187392.

The previous prime is 100047473. The next prime is 100047491. The reversal of 100047480 is 84740001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 100047480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91497 + ... + 92583.

It is an arithmetic number, because the mean of its divisors is an integer number (2570400).

Almost surely, 2100047480 is an apocalyptic number.

100047480 is a gapful number since it is divisible by the number (10) 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 100047480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164505600).

100047480 is an abundant number, since it is smaller than the sum of its proper divisors (228963720).

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

100047480 is a wasteful number, since it uses less digits than its factorization.

100047480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 100047480 is about 10002.3737182731. The cubic root of 100047480 is about 464.2323326172.

Adding to 100047480 its reverse (84740001), we get a palindrome (184787481).

The spelling of 100047480 in words is "one hundred million, forty-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 59 60 65 78 104 118 120 130 156 177 195 236 260 295 312 354 390 472 520 590 708 767 780 885 1087 1180 1416 1534 1560 1770 2174 2301 2360 3068 3261 3540 3835 4348 4602 5435 6136 6522 7080 7670 8696 9204 10870 11505 13044 14131 15340 16305 18408 21740 23010 26088 28262 30680 32610 42393 43480 46020 56524 64133 65220 70655 84786 92040 113048 128266 130440 141310 169572 192399 211965 256532 282620 320665 339144 384798 423930 513064 565240 641330 769596 833729 847860 961995 1282660 1539192 1667458 1695720 1923990 2501187 2565320 3334916 3847980 4168645 5002374 6669832 7695960 8337290 10004748 12505935 16674580 20009496 25011870 33349160 50023740 100047480