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102240040 = 23571747457
BaseRepresentation
bin1100001100000…
…00111100101000
321010101022222011
412012000330220
5202133140130
614051205304
72351011630
oct606007450
9233338864
10102240040
1152791501
122a2a6834
1318249286
14d8156c0
158e9852a
hex6180f28

102240040 has 128 divisors (see below), whose sum is σ = 284912640. Its totient is φ = 32219136.

The previous prime is 102240011. The next prime is 102240053. The reversal of 102240040 is 40042201.

It is a self number, because there is not a number n which added to its sum of digits gives 102240040.

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, 223492 + ... + 223948.

It is an arithmetic number, because the mean of its divisors is an integer number (2225880).

Almost surely, 2102240040 is an apocalyptic number.

102240040 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 102240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142456320).

102240040 is an abundant number, since it is smaller than the sum of its proper divisors (182672600).

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

102240040 is a wasteful number, since it uses less digits than its factorization.

102240040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 102240040 is about 10111.3817057809. The cubic root of 102240040 is about 467.5991039290.

Adding to 102240040 its reverse (40042201), we get a palindrome (142282241).

The spelling of 102240040 in words is "one hundred two million, two hundred forty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 47 56 68 70 85 94 119 136 140 170 188 235 238 280 329 340 376 457 470 476 595 658 680 799 914 940 952 1190 1316 1598 1645 1828 1880 2285 2380 2632 3196 3199 3290 3656 3995 4570 4760 5593 6392 6398 6580 7769 7990 9140 11186 12796 13160 15538 15980 15995 18280 21479 22372 25592 27965 31076 31960 31990 38845 42958 44744 54383 55930 62152 63980 77690 85916 107395 108766 111860 127960 150353 155380 171832 214790 217532 223720 271915 300706 310760 365143 429580 435064 543830 601412 730286 751765 859160 1087660 1202824 1460572 1503530 1825715 2175320 2556001 2921144 3007060 3651430 5112002 6014120 7302860 10224004 12780005 14605720 20448008 25560010 51120020 102240040