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103061504 = 211721379
BaseRepresentation
bin1100010010010…
…01100000000000
321011221001210202
412021021200000
5202340432004
614120544332
72361002600
oct611114000
9234831722
10103061504
11531a26a7
122a6220a8
1318476150
14d98ac00
1590abb1e
hex6249800

103061504 has 144 divisors (see below), whose sum is σ = 261424800. Its totient is φ = 40255488.

The previous prime is 103061501. The next prime is 103061507. The reversal of 103061504 is 405160301.

It is an interprime number because it is at equal distance from previous prime (103061501) and next prime (103061507).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103061501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1304537 + ... + 1304615.

It is an arithmetic number, because the mean of its divisors is an integer number (1815450).

Almost surely, 2103061504 is an apocalyptic number.

103061504 is a gapful number since it is divisible by the number (14) 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 103061504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130712400).

103061504 is an abundant number, since it is smaller than the sum of its proper divisors (158363296).

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

103061504 is an equidigital number, since it uses as much as digits as its factorization.

103061504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 103061504 is about 10151.9211974877. The cubic root of 103061504 is about 468.8480981297.

The spelling of 103061504 in words is "one hundred three million, sixty-one thousand, five hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 79 91 98 104 112 128 158 182 196 208 224 256 316 364 392 416 448 512 553 632 637 728 784 832 896 1024 1027 1106 1264 1274 1456 1568 1664 1792 2048 2054 2212 2528 2548 2912 3136 3328 3584 3871 4108 4424 5056 5096 5824 6272 6656 7168 7189 7742 8216 8848 10112 10192 11648 12544 13312 14336 14378 15484 16432 17696 20224 20384 23296 25088 26624 28756 30968 32864 35392 40448 40768 46592 50176 50323 57512 61936 65728 70784 80896 81536 93184 100352 100646 115024 123872 131456 141568 161792 163072 186368 201292 230048 247744 262912 283136 326144 402584 460096 495488 525824 566272 652288 805168 920192 990976 1051648 1132544 1304576 1610336 1840384 1981952 2103296 3220672 3680768 3963904 6441344 7361536 7927808 12882688 14723072 25765376 51530752 103061504