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106847040 = 2635176547
BaseRepresentation
bin1100101111001…
…01101101000000
321110001101120210
412113211231000
5204323101130
614334034120
72435120256
oct627455500
9243041523
10106847040
1155348843
122b948940
13191a0201
14102945d6
1595a85b0
hex65e5b40

106847040 has 112 divisors (see below), whose sum is σ = 359249472. Its totient is φ = 26812416.

The previous prime is 106847021. The next prime is 106847063. The reversal of 106847040 is 40748601.

It is a super-2 number, since 2×1068470402 = 22832579913523200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 106846989 and 106847007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13047 + ... + 19593.

Almost surely, 2106847040 is an apocalyptic number.

106847040 is a gapful number since it is divisible by the number (10) 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 106847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179624736).

106847040 is an abundant number, since it is smaller than the sum of its proper divisors (252402432).

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

106847040 is a wasteful number, since it uses less digits than its factorization.

106847040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6584 (or 6574 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 106847040 is about 10336.6841878815. The cubic root of 106847040 is about 474.5196103529.

The spelling of 106847040 in words is "one hundred six million, eight hundred forty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 1020 1088 1360 1632 2040 2720 3264 4080 5440 6547 8160 13094 16320 19641 26188 32735 39282 52376 65470 78564 98205 104752 111299 130940 157128 196410 209504 222598 261880 314256 333897 392820 419008 445196 523760 556495 628512 667794 785640 890392 1047520 1112990 1257024 1335588 1571280 1669485 1780784 2095040 2225980 2671176 3142560 3338970 3561568 4451960 5342352 6285120 6677940 7123136 8903920 10684704 13355880 17807840 21369408 26711760 35615680 53423520 106847040