[go: up one dir, main page]

Search a number
-
+
100142336 = 287294147
BaseRepresentation
bin1011111100000…
…00110100000000
320222102202110102
411332000310000
5201114023321
613534221532
72324124110
oct576006400
9228382412
10100142336
1151589468
12296548a8
1317993528
14d42b040
158bd1c0b
hex5f80d00

100142336 has 144 divisors (see below), whose sum is σ = 247242240. Its totient is φ = 39567360.

The previous prime is 100142327. The next prime is 100142347. The reversal of 100142336 is 633241001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2130665 + ... + 2130711.

It is an arithmetic number, because the mean of its divisors is an integer number (1716960).

Almost surely, 2100142336 is an apocalyptic number.

100142336 is a gapful number since it is divisible by the number (16) 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 100142336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123621120).

100142336 is an abundant number, since it is smaller than the sum of its proper divisors (147099904).

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

100142336 is an equidigital number, since it uses as much as digits as its factorization.

100142336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 100142336 is about 10007.1142693586. The cubic root of 100142336 is about 464.3790006883.

Adding to 100142336 its reverse (633241001), we get a palindrome (733383337).

The spelling of 100142336 in words is "one hundred million, one hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 41 47 56 58 64 82 94 112 116 128 164 188 203 224 232 256 287 328 329 376 406 448 464 574 656 658 752 812 896 928 1148 1189 1312 1316 1363 1504 1624 1792 1856 1927 2296 2378 2624 2632 2726 3008 3248 3712 3854 4592 4756 5248 5264 5452 6016 6496 7424 7708 8323 9184 9512 9541 10496 10528 10904 12032 12992 13489 15416 16646 18368 19024 19082 21056 21808 25984 26978 30832 33292 36736 38048 38164 42112 43616 51968 53956 55883 61664 66584 73472 76096 76328 84224 87232 107912 111766 123328 133168 152192 152656 174464 215824 223532 246656 266336 304384 305312 348928 391181 431648 447064 493312 532672 610624 782362 863296 894128 1065344 1221248 1564724 1726592 1788256 2130688 2442496 3129448 3453184 3576512 6258896 7153024 12517792 14306048 25035584 50071168 100142336