Search a number
-
+
100780296 = 23323416173
BaseRepresentation
bin1100000000111…
…00100100001000
321000122011120120
412000130210020
5201244432141
614000023240
72332422051
oct600344410
9230564516
10100780296
1151984801
1229901b20
1317b57a16
14d555728
158caac66
hex601c908

100780296 has 128 divisors (see below), whose sum is σ = 277482240. Its totient is φ = 30412800.

The previous prime is 100780291. The next prime is 100780321. The reversal of 100780296 is 692087001.

It is not an unprimeable number, because it can be changed into a prime (100780291) 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, 1380516 + ... + 1380588.

It is an arithmetic number, because the mean of its divisors is an integer number (2167830).

Almost surely, 2100780296 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 100780296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138741120).

100780296 is an abundant number, since it is smaller than the sum of its proper divisors (176701944).

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

100780296 is a wasteful number, since it uses less digits than its factorization.

100780296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 100780296 is about 10038.9389877616. The cubic root of 100780296 is about 465.3630278740.

The spelling of 100780296 in words is "one hundred million, seven hundred eighty thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 23 24 41 46 61 69 73 82 92 122 123 138 146 164 183 184 219 244 246 276 292 328 366 438 488 492 552 584 732 876 943 984 1403 1464 1679 1752 1886 2501 2806 2829 2993 3358 3772 4209 4453 5002 5037 5612 5658 5986 6716 7503 7544 8418 8906 8979 10004 10074 11224 11316 11972 13359 13432 15006 16836 17812 17958 20008 20148 22632 23944 26718 30012 33672 35624 35916 40296 53436 57523 60024 68839 71832 102419 106872 115046 137678 172569 182573 204838 206517 230092 275356 307257 345138 365146 409676 413034 460184 547719 550712 614514 690276 730292 819352 826068 1095438 1229028 1380552 1460584 1652136 2190876 2458056 4199179 4381752 8398358 12597537 16796716 25195074 33593432 50390148 100780296