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100411392 = 211359277
BaseRepresentation
bin1011111110000…
…10100000000000
320222221102112110
411333002200000
5201201131032
613544055320
72326324404
oct577024000
9228842473
10100411392
1151752624
1229764540
1317a58b33
14d49b104
158c367cc
hex5fc2800

100411392 has 96 divisors (see below), whose sum is σ = 273218400. Its totient is φ = 32784384.

The previous prime is 100411361. The next prime is 100411397. The reversal of 100411392 is 293114001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (100411397) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 362358 + ... + 362634.

It is an arithmetic number, because the mean of its divisors is an integer number (2846025).

Almost surely, 2100411392 is an apocalyptic number.

100411392 is a gapful number since it is divisible by the number (12) 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 100411392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136609200).

100411392 is an abundant number, since it is smaller than the sum of its proper divisors (172807008).

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

100411392 is an equidigital number, since it uses as much as digits as its factorization.

100411392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 100411392 is about 10020.5484879821. The cubic root of 100411392 is about 464.7945166794.

Adding to 100411392 its reverse (293114001), we get a palindrome (393525393).

The spelling of 100411392 in words is "one hundred million, four hundred eleven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 256 277 354 384 472 512 554 708 768 831 944 1024 1108 1416 1536 1662 1888 2048 2216 2832 3072 3324 3776 4432 5664 6144 6648 7552 8864 11328 13296 15104 16343 17728 22656 26592 30208 32686 35456 45312 49029 53184 60416 65372 70912 90624 98058 106368 120832 130744 141824 181248 196116 212736 261488 283648 362496 392232 425472 522976 567296 784464 850944 1045952 1568928 1701888 2091904 3137856 4183808 6275712 8367616 12551424 16735232 25102848 33470464 50205696 100411392