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102034140 = 223513257509
BaseRepresentation
bin1100001010011…
…10101011011100
321002222212112020
412011032223130
5202110043030
614042540140
72346163425
oct605165334
9232885466
10102034140
115266083a
122a207650
13181a6640
14d7a064c
158e57510
hex614eadc

102034140 has 96 divisors (see below), whose sum is σ = 309476160. Its totient is φ = 24969216.

The previous prime is 102034129. The next prime is 102034159. The reversal of 102034140 is 41430201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200206 + ... + 200714.

It is an arithmetic number, because the mean of its divisors is an integer number (3223710).

Almost surely, 2102034140 is an apocalyptic number.

102034140 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 102034140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154738080).

102034140 is an abundant number, since it is smaller than the sum of its proper divisors (207442020).

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

102034140 is a wasteful number, since it uses less digits than its factorization.

102034140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 102034140 is about 10101.1949788132. The cubic root of 102034140 is about 467.2849955510.

Adding to 102034140 its reverse (41430201), we get a palindrome (143464341).

The spelling of 102034140 in words is "one hundred two million, thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 257 260 390 509 514 771 780 1018 1028 1285 1527 1542 2036 2545 2570 3054 3084 3341 3855 5090 5140 6108 6617 6682 7635 7710 10023 10180 13234 13364 15270 15420 16705 19851 20046 26468 30540 33085 33410 39702 40092 50115 66170 66820 79404 99255 100230 130813 132340 198510 200460 261626 392439 397020 523252 654065 784878 1308130 1569756 1700569 1962195 2616260 3401138 3924390 5101707 6802276 7848780 8502845 10203414 17005690 20406828 25508535 34011380 51017070 102034140