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103164280 = 23531271307
BaseRepresentation
bin1100010011000…
…10100101111000
321012010021210021
412021202211320
5202402224110
614123100224
72361611332
oct611424570
9235107707
10103164280
115326293a
122a671674
13184b0b6b
14d9b6452
1590cc2da
hex6262978

103164280 has 64 divisors (see below), whose sum is σ = 241274880. Its totient is φ = 39657600.

The previous prime is 103164247. The next prime is 103164289. The reversal of 103164280 is 82461301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103164289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335887 + ... + 336193.

It is an arithmetic number, because the mean of its divisors is an integer number (3769920).

Almost surely, 2103164280 is an apocalyptic number.

103164280 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 103164280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120637440).

103164280 is an abundant number, since it is smaller than the sum of its proper divisors (138110600).

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

103164280 is a wasteful number, since it uses less digits than its factorization.

103164280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 103164280 is about 10156.9818351713. The cubic root of 103164280 is about 469.0038961129.

The spelling of 103164280 in words is "one hundred three million, one hundred sixty-four thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 271 307 310 542 614 620 1084 1228 1240 1355 1535 2168 2456 2710 3070 5420 6140 8401 9517 10840 12280 16802 19034 33604 38068 42005 47585 67208 76136 83197 84010 95170 166394 168020 190340 332788 336040 380680 415985 665576 831970 1663940 2579107 3327880 5158214 10316428 12895535 20632856 25791070 51582140 103164280