Search a number
-
+
1012433240 = 2357131914639
BaseRepresentation
bin111100010110001…
…000000101011000
32121120001221022102
4330112020011120
54033140330430
6244243542532
734042353260
oct7426100530
92546057272
101012433240
1147a546095
1224308aa48
131319a1430
14986667a0
155dd3a345
hex3c588158

1012433240 has 128 divisors (see below), whose sum is σ = 2951424000. Its totient is φ = 303533568.

The previous prime is 1012433207. The next prime is 1012433263. The reversal of 1012433240 is 423342101.

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

It is a congruent number.

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, 61841 + ... + 76479.

It is an arithmetic number, because the mean of its divisors is an integer number (23058000).

Almost surely, 21012433240 is an apocalyptic number.

1012433240 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 1012433240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475712000).

1012433240 is an abundant number, since it is smaller than the sum of its proper divisors (1938990760).

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

1012433240 is a wasteful number, since it uses less digits than its factorization.

1012433240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14689 (or 14685 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1012433240 is about 31818.7561039083. The cubic root of 1012433240 is about 1004.1273548388.

Adding to 1012433240 its reverse (423342101), we get a palindrome (1435775341).

The spelling of 1012433240 in words is "one billion, twelve million, four hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 19 20 26 28 35 38 40 52 56 65 70 76 91 95 104 130 133 140 152 182 190 247 260 266 280 364 380 455 494 520 532 665 728 760 910 988 1064 1235 1330 1729 1820 1976 2470 2660 3458 3640 4940 5320 6916 8645 9880 13832 14639 17290 29278 34580 58556 69160 73195 102473 117112 146390 190307 204946 278141 292780 380614 409892 512365 556282 585560 761228 819784 951535 1024730 1112564 1332149 1390705 1522456 1903070 1946987 2049460 2225128 2664298 2781410 3615833 3806140 3893974 4098920 5328596 5562820 6660745 7231666 7612280 7787948 9734935 10657192 11125640 13321490 14463332 15575896 18079165 19469870 25310831 26642980 28926664 36158330 38939740 50621662 53285960 72316660 77879480 101243324 126554155 144633320 202486648 253108310 506216620 1012433240