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107226480 = 24351741641
BaseRepresentation
bin1100110010000…
…10010101110000
321110202200002010
412121002111300
5204422221410
614350122520
72441260434
oct631022560
9243680063
10107226480
1155587929
122bab0440
13192a3b2a
14103529c4
159630c20
hex6642570

107226480 has 160 divisors (see below), whose sum is σ = 361101888. Its totient is φ = 26214400.

The previous prime is 107226467. The next prime is 107226487. The reversal of 107226480 is 84622701.

It is a super-2 number, since 2×1072264802 = 22995036026380800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107226487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166960 + ... + 167600.

Almost surely, 2107226480 is an apocalyptic number.

107226480 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 107226480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180550944).

107226480 is an abundant number, since it is smaller than the sum of its proper divisors (253875408).

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

107226480 is a wasteful number, since it uses less digits than its factorization.

107226480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 709 counting only the distinct ones).

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

The square root of 107226480 is about 10355.0219700395. The cubic root of 107226480 is about 475.0806585096.

The spelling of 107226480 in words is "one hundred seven million, two hundred twenty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 41 48 51 60 68 80 82 85 102 120 123 136 164 170 204 205 240 246 255 272 328 340 408 410 492 510 615 641 656 680 697 816 820 984 1020 1230 1282 1360 1394 1640 1923 1968 2040 2091 2460 2564 2788 3205 3280 3485 3846 4080 4182 4920 5128 5576 6410 6970 7692 8364 9615 9840 10256 10455 10897 11152 12820 13940 15384 16728 19230 20910 21794 25640 26281 27880 30768 32691 33456 38460 41820 43588 51280 52562 54485 55760 65382 76920 78843 83640 87176 105124 108970 130764 131405 153840 157686 163455 167280 174352 210248 217940 261528 262810 315372 326910 394215 420496 435880 446777 523056 525620 630744 653820 788430 871760 893554 1051240 1261488 1307640 1340331 1576860 1787108 2102480 2233885 2615280 2680662 3153720 3574216 4467770 5361324 6307440 6701655 7148432 8935540 10722648 13403310 17871080 21445296 26806620 35742160 53613240 107226480