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102023880 = 23357217351
BaseRepresentation
bin1100001010011…
…00001011001000
321002222100110020
412011030023020
5202104231010
614042420440
72346121500
oct605141310
9232870406
10102023880
1152654062
122a201720
13181a1a7a
14d79aa00
158e54470
hex614c2c8

102023880 has 96 divisors (see below), whose sum is σ = 356063040. Its totient is φ = 23318400.

The previous prime is 102023843. The next prime is 102023881. The reversal of 102023880 is 88320201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102023880.

It is not an unprimeable number, because it can be changed into a prime (102023881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2796 + ... + 14555.

It is an arithmetic number, because the mean of its divisors is an integer number (3708990).

Almost surely, 2102023880 is an apocalyptic number.

102023880 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 102023880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178031520).

102023880 is an abundant number, since it is smaller than the sum of its proper divisors (254039160).

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

102023880 is a wasteful number, since it uses less digits than its factorization.

102023880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17379 (or 17368 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 102023880 is about 10100.6871053409. The cubic root of 102023880 is about 467.2693324773.

The spelling of 102023880 in words is "one hundred two million, twenty-three thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 17351 34702 52053 69404 86755 104106 121457 138808 173510 208212 242914 260265 347020 364371 416424 485828 520530 607285 694040 728742 850199 971656 1041060 1214570 1457484 1700398 1821855 2082120 2429140 2550597 2914968 3400796 3643710 4250995 4858280 5101194 6801592 7287420 8501990 10202388 12752985 14574840 17003980 20404776 25505970 34007960 51011940 102023880