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102245004 = 22341719977
BaseRepresentation
bin1100001100000…
…10001010001100
321010101120210000
412012002022030
5202133320004
614051244300
72351032251
oct606021214
9233346700
10102245004
1152795204
122a2a9690
131824b604
14d817428
158e99c39
hex618228c

102245004 has 120 divisors (see below), whose sum is σ = 298211760. Its totient is φ = 30357504.

The previous prime is 102244993. The next prime is 102245009. The reversal of 102245004 is 400542201.

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

It is not an unprimeable number, because it can be changed into a prime (102245009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 104164 + ... + 105140.

It is an arithmetic number, because the mean of its divisors is an integer number (2485098).

Almost surely, 2102245004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102245004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149105880).

102245004 is an abundant number, since it is smaller than the sum of its proper divisors (195966756).

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

102245004 is a wasteful number, since it uses less digits than its factorization.

102245004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 102245004 is about 10111.6271687597. The cubic root of 102245004 is about 467.6066714938.

Adding to 102245004 its reverse (400542201), we get a palindrome (502787205).

The spelling of 102245004 in words is "one hundred two million, two hundred forty-five thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 19 27 34 36 38 51 54 57 68 76 81 102 108 114 153 162 171 204 228 306 323 324 342 459 513 612 646 684 918 969 977 1026 1292 1377 1539 1836 1938 1954 2052 2754 2907 2931 3078 3876 3908 5508 5814 5862 6156 8721 8793 11628 11724 16609 17442 17586 18563 26163 26379 33218 34884 35172 37126 49827 52326 52758 55689 66436 74252 79137 99654 104652 105516 111378 149481 158274 167067 199308 222756 298962 315571 316548 334134 448443 501201 597924 631142 668268 896886 946713 1002402 1262284 1345329 1503603 1793772 1893426 2004804 2690658 2840139 3007206 3786852 5381316 5680278 6014412 8520417 11360556 17040834 25561251 34081668 51122502 102245004