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102379464 = 23341153271
BaseRepresentation
bin1100001101000…
…10111111001000
321010122102020000
412012202333020
5202202120324
614054203000
72352132255
oct606427710
9233572200
10102379464
1152877230
122a353460
1318297885
14d85042c
158ec49c9
hex61a2fc8

102379464 has 160 divisors (see below), whose sum is σ = 319904640. Its totient is φ = 30326400.

The previous prime is 102379447. The next prime is 102379471. The reversal of 102379464 is 464973201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 377649 + ... + 377919.

It is an arithmetic number, because the mean of its divisors is an integer number (1999404).

Almost surely, 2102379464 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 102379464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159952320).

102379464 is an abundant number, since it is smaller than the sum of its proper divisors (217525176).

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

102379464 is a wasteful number, since it uses less digits than its factorization.

102379464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 102379464 is about 10118.2737658160. The cubic root of 102379464 is about 467.8115612167.

It can be divided in two parts, 10237 and 9464, that added together give a triangular number (19701 = T198).

The spelling of 102379464 in words is "one hundred two million, three hundred seventy-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 53 54 66 72 81 88 99 106 108 132 159 162 198 212 216 264 271 297 318 324 396 424 477 542 583 594 636 648 792 813 891 954 1084 1166 1188 1272 1431 1626 1749 1782 1908 2168 2332 2376 2439 2862 2981 3252 3498 3564 3816 4293 4664 4878 5247 5724 5962 6504 6996 7128 7317 8586 8943 9756 10494 11448 11924 13992 14363 14634 15741 17172 17886 19512 20988 21951 23848 26829 28726 29268 31482 34344 35772 41976 43089 43902 47223 53658 57452 58536 62964 71544 80487 86178 87804 94446 107316 114904 125928 129267 157993 160974 172356 175608 188892 214632 241461 258534 315986 321948 344712 377784 387801 473979 482922 517068 631972 643896 775602 947958 965844 1034136 1163403 1263944 1421937 1551204 1895916 1931688 2326806 2843874 3102408 3791832 4265811 4653612 5687748 8531622 9307224 11375496 12797433 17063244 25594866 34126488 51189732 102379464