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102242140 = 225711135107
BaseRepresentation
bin1100001100000…
…01011101011100
321010101102211221
412012001131130
5202133222030
614051223124
72351021020
oct606013534
9233342757
10102242140
1152793040
122a2a7aa4
131824a210
14d816380
158e98e7a
hex618175c

102242140 has 96 divisors (see below), whose sum is σ = 288336384. Its totient is φ = 29410560.

The previous prime is 102242099. The next prime is 102242143. The reversal of 102242140 is 41242201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102242143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17467 + ... + 22573.

It is an arithmetic number, because the mean of its divisors is an integer number (3003504).

Almost surely, 2102242140 is an apocalyptic number.

102242140 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 102242140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144168192).

102242140 is an abundant number, since it is smaller than the sum of its proper divisors (186094244).

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

102242140 is a wasteful number, since it uses less digits than its factorization.

102242140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5147 (or 5145 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 102242140 is about 10111.4855486224. The cubic root of 102242140 is about 467.6023053864.

Adding to 102242140 its reverse (41242201), we get a palindrome (143484341).

It can be divided in two parts, 102 and 242140, that added together give a palindrome (242242).

The spelling of 102242140 in words is "one hundred two million, two hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 5107 10010 10214 20020 20428 25535 35749 51070 56177 66391 71498 102140 112354 132782 142996 178745 224708 265564 280885 331955 357490 393239 464737 561770 663910 714980 730301 786478 929474 1123540 1327820 1460602 1572956 1858948 1966195 2323685 2921204 3651505 3932390 4647370 5112107 7303010 7864780 9294740 10224214 14606020 20448428 25560535 51121070 102242140