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102234240 = 2732517749
BaseRepresentation
bin1100001011111…
…11100010000000
321010101001000100
412011333202000
5202132443430
614051122400
72350656003
oct605774200
9233331010
10102234240
1152788109
122a2a3400
1318246744
14d81353a
158e96960
hex617f880

102234240 has 96 divisors (see below), whose sum is σ = 353047500. Its totient is φ = 27260928.

The previous prime is 102234233. The next prime is 102234271. The reversal of 102234240 is 42432201.

It can be written as a sum of positive squares in 2 ways, for example, as 90782784 + 11451456 = 9528^2 + 3384^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3115 + ... + 14634.

Almost surely, 2102234240 is an apocalyptic number.

102234240 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 102234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176523750).

102234240 is an abundant number, since it is smaller than the sum of its proper divisors (250813260).

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

102234240 is a wasteful number, since it uses less digits than its factorization.

102234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17774 (or 17759 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 102234240 is about 10111.0948962019. The cubic root of 102234240 is about 467.5902615808.

Adding to 102234240 its reverse (42432201), we get a palindrome (144666441).

The spelling of 102234240 in words is "one hundred two million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 17749 35498 53247 70996 88745 106494 141992 159741 177490 212988 266235 283984 319482 354980 425976 532470 567968 638964 709960 798705 851952 1064940 1135936 1277928 1419920 1597410 1703904 2129880 2271872 2555856 2839840 3194820 3407808 4259760 5111712 5679680 6389640 6815616 8519520 10223424 11359360 12779280 17039040 20446848 25558560 34078080 51117120 102234240