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102531440 = 24511374767
BaseRepresentation
bin1100001110010…
…00000101110000
321010221010200202
412013020011300
5202222001230
614101334332
72353334324
oct607100560
9233833622
10102531440
1152970430
122a4073a8
131831babb
14d88d984
159004a45
hex61c8170

102531440 has 160 divisors (see below), whose sum is σ = 276839424. Its totient is φ = 34974720.

The previous prime is 102531427. The next prime is 102531449. The reversal of 102531440 is 44135201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102531449) 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, 1530287 + ... + 1530353.

Almost surely, 2102531440 is an apocalyptic number.

102531440 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 102531440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138419712).

102531440 is an abundant number, since it is smaller than the sum of its proper divisors (174307984).

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

102531440 is a wasteful number, since it uses less digits than its factorization.

102531440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 102531440 is about 10125.7809575361. The cubic root of 102531440 is about 468.0429259090.

Adding to 102531440 its reverse (44135201), we get a palindrome (146666641).

The spelling of 102531440 in words is "one hundred two million, five hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 37 40 44 47 55 67 74 80 88 94 110 134 148 176 185 188 220 235 268 296 335 370 376 407 440 470 517 536 592 670 737 740 752 814 880 940 1034 1072 1340 1474 1480 1628 1739 1880 2035 2068 2479 2585 2680 2948 2960 3149 3256 3478 3685 3760 4070 4136 4958 5170 5360 5896 6298 6512 6956 7370 8140 8272 8695 9916 10340 11792 12395 12596 13912 14740 15745 16280 17390 19129 19832 20680 24790 25192 27269 27824 29480 31490 32560 34639 34780 38258 39664 41360 49580 50384 54538 58960 62980 69278 69560 76516 95645 99160 109076 116513 125960 136345 138556 139120 153032 173195 191290 198320 218152 233026 251920 272690 277112 306064 346390 382580 436304 466052 545380 554224 582565 692780 765160 932104 1090760 1165130 1281643 1385560 1530320 1864208 2181520 2330260 2563286 2771120 4660520 5126572 6408215 9321040 10253144 12816430 20506288 25632860 51265720 102531440