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103076096 = 285371107
BaseRepresentation
bin1100010010011…
…01000100000000
321011221210211012
412021031010000
5202341413341
614121140052
72361063254
oct611150400
9234853735
10103076096
1153202662
122a62a628
131847c996
14d992264
1590b10eb
hex624d100

103076096 has 72 divisors (see below), whose sum is σ = 214570944. Its totient is φ = 49387520.

The previous prime is 103076093. The next prime is 103076101. The reversal of 103076096 is 690670301.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (103076093) 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, 963275 + ... + 963381.

It is an arithmetic number, because the mean of its divisors is an integer number (2980152).

Almost surely, 2103076096 is an apocalyptic number.

103076096 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 103076096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107285472).

103076096 is an abundant number, since it is smaller than the sum of its proper divisors (111494848).

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

103076096 is an equidigital number, since it uses as much as digits as its factorization.

103076096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 103076096 is about 10152.6398537523. The cubic root of 103076096 is about 468.8702244275.

The spelling of 103076096 in words is "one hundred three million, seventy-six thousand, ninety-six".

Divisors: 1 2 4 8 16 32 53 64 71 106 107 128 142 212 214 256 284 424 428 568 848 856 1136 1696 1712 2272 3392 3424 3763 4544 5671 6784 6848 7526 7597 9088 11342 13568 13696 15052 15194 18176 22684 27392 30104 30388 45368 60208 60776 90736 120416 121552 181472 240832 243104 362944 402641 481664 486208 725888 805282 963328 972416 1451776 1610564 1944832 3221128 6442256 12884512 25769024 51538048 103076096