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1004124132 = 22321143109541
BaseRepresentation
bin111011110110011…
…011011111100100
32120222102210100200
4323312123133210
54024023433012
6243345510500
733611625414
oct7366333744
92528383320
101004124132
11475890360
12240342430
131300523bb
1497502644
155d2483dc
hex3bd9b7e4

1004124132 has 144 divisors (see below), whose sum is σ = 2864621760. Its totient is φ = 293932800.

The previous prime is 1004124067. The next prime is 1004124139. The reversal of 1004124132 is 2314214001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1004124139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1855782 + ... + 1856322.

Almost surely, 21004124132 is an apocalyptic number.

1004124132 is a gapful number since it is divisible by the number (12) 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 1004124132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432310880).

1004124132 is an abundant number, since it is smaller than the sum of its proper divisors (1860497628).

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

1004124132 is a wasteful number, since it uses less digits than its factorization.

1004124132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1004124132 is about 31687.9177605598. The cubic root of 1004124132 is about 1001.3728251553.

Adding to 1004124132 its reverse (2314214001), we get a palindrome (3318338133).

The spelling of 1004124132 in words is "one billion, four million, one hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 109 129 132 172 198 218 258 327 387 396 436 473 516 541 654 774 946 981 1082 1199 1308 1419 1548 1623 1892 1962 2164 2398 2838 3246 3597 3924 4257 4687 4796 4869 5676 5951 6492 7194 8514 9374 9738 10791 11902 14061 14388 17028 17853 18748 19476 21582 23263 23804 28122 35706 42183 43164 46526 51557 53559 56244 58969 69789 71412 84366 93052 103114 107118 117938 139578 154671 168732 176907 206228 209367 214236 235876 255893 279156 309342 353814 418734 464013 511786 530721 618684 648659 707628 767679 837468 928026 1023572 1061442 1297318 1535358 1856052 1945977 2122884 2303037 2535667 2594636 3070716 3891954 4606074 5071334 5837931 7607001 7783908 9212148 10142668 11675862 15214002 22821003 23351724 27892337 30428004 45642006 55784674 83677011 91284012 111569348 167354022 251031033 334708044 502062066 1004124132