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107202420 = 223351315271
BaseRepresentation
bin1100110001111…
…00011101110100
321110201110002000
412120330131310
5204420434140
614345415300
72441130333
oct630743564
9243643060
10107202420
1155570846
122ba9a530
1319295bb0
1410347d1a
159628a30
hex663c774

107202420 has 96 divisors (see below), whose sum is σ = 359197440. Its totient is φ = 26386560.

The previous prime is 107202419. The next prime is 107202421. The reversal of 107202420 is 24202701.

It is an interprime number because it is at equal distance from previous prime (107202419) and next prime (107202421).

It is a super-2 number, since 2×1072024202 = 22984717707712800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 107202393 and 107202402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107202421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 616 + ... + 14655.

It is an arithmetic number, because the mean of its divisors is an integer number (3741640).

Almost surely, 2107202420 is an apocalyptic number.

107202420 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 107202420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179598720).

107202420 is an abundant number, since it is smaller than the sum of its proper divisors (251995020).

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

107202420 is a wasteful number, since it uses less digits than its factorization.

107202420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15302 (or 15294 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 107202420 is about 10353.8601497219. The cubic root of 107202420 is about 475.0451222140.

The spelling of 107202420 in words is "one hundred seven million, two hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 15271 30542 45813 61084 76355 91626 137439 152710 183252 198523 229065 274878 305420 397046 412317 458130 549756 595569 687195 794092 824634 916260 992615 1191138 1374390 1649268 1786707 1985230 2061585 2382276 2748780 2977845 3573414 3970460 4123170 5360121 5955690 7146828 8246340 8933535 10720242 11911380 17867070 21440484 26800605 35734140 53601210 107202420