Search a number
-
+
102424440 = 233519167269
BaseRepresentation
bin1100001101011…
…01111101111000
321010201200220210
412012231331320
5202210040230
614055151120
72352410346
oct606557570
9233650823
10102424440
11528a7aa8
122a3754a0
13182b21a1
14d862996
158ed2eb0
hex61adf78

102424440 has 128 divisors (see below), whose sum is σ = 326592000. Its totient is φ = 25625088.

The previous prime is 102424393. The next prime is 102424447. The reversal of 102424440 is 44424201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102424447) 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, 380626 + ... + 380894.

It is an arithmetic number, because the mean of its divisors is an integer number (2551500).

Almost surely, 2102424440 is an apocalyptic number.

102424440 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 102424440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296000).

102424440 is an abundant number, since it is smaller than the sum of its proper divisors (224167560).

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

102424440 is a wasteful number, since it uses less digits than its factorization.

102424440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 102424440 is about 10120.4960352742. The cubic root of 102424440 is about 467.8800554624.

Adding to 102424440 its reverse (44424201), we get a palindrome (146848641).

The spelling of 102424440 in words is "one hundred two million, four hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 167 190 228 269 285 334 380 456 501 538 570 668 760 807 835 1002 1076 1140 1336 1345 1614 1670 2004 2152 2280 2505 2690 3173 3228 3340 4008 4035 5010 5111 5380 6346 6456 6680 8070 9519 10020 10222 10760 12692 15333 15865 16140 19038 20040 20444 25384 25555 30666 31730 32280 38076 40888 44923 47595 51110 61332 63460 76152 76665 89846 95190 102220 122664 126920 134769 153330 179692 190380 204440 224615 269538 306660 359384 380760 449230 539076 613320 673845 853537 898460 1078152 1347690 1707074 1796920 2560611 2695380 3414148 4267685 5121222 5390760 6828296 8535370 10242444 12803055 17070740 20484888 25606110 34141480 51212220 102424440