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102919000 = 23531011019
BaseRepresentation
bin1100010001001…
…10101101011000
321011122211022211
412020212231120
5202321402000
614113524504
72356540252
oct610465530
9234584284
10102919000
1153105628
122a573734
1318426322
14d950cd2
15907e7ba
hex6226b58

102919000 has 64 divisors (see below), whose sum is σ = 243453600. Its totient is φ = 40720000.

The previous prime is 102918961. The next prime is 102919007. The reversal of 102919000 is 919201.

It is a super-2 number, since 2×1029190002 = 21184641122000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102919007) 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, 100491 + ... + 101509.

Almost surely, 2102919000 is an apocalyptic number.

102919000 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 102919000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121726800).

102919000 is an abundant number, since it is smaller than the sum of its proper divisors (140534600).

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

102919000 is a wasteful number, since it uses less digits than its factorization.

102919000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 22.

The square root of 102919000 is about 10144.9001966505. The cubic root of 102919000 is about 468.6319050650.

It can be divided in two parts, 10291 and 9000, that added together give a palindrome (19291).

The spelling of 102919000 in words is "one hundred two million, nine hundred nineteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 1019 2020 2038 2525 4040 4076 5050 5095 8152 10100 10190 12625 20200 20380 25250 25475 40760 50500 50950 101000 101900 102919 127375 203800 205838 254750 411676 509500 514595 823352 1019000 1029190 2058380 2572975 4116760 5145950 10291900 12864875 20583800 25729750 51459500 102919000