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421410132 = 22321113109751
BaseRepresentation
bin11001000111100…
…011010101010100
31002100221212000200
4121013203111110
51330340111012
6105452140500
713304632653
oct3107432524
91070855020
10421410132
111a6969740
12b9167730
13693c9810
143dd7919a
1526ee23dc
hex191e3554

421410132 has 144 divisors (see below), whose sum is σ = 1264623360. Its totient is φ = 116640000.

The previous prime is 421410103. The next prime is 421410133. The reversal of 421410132 is 231014124.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421410133) 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, 560757 + ... + 561507.

Almost surely, 2421410132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421410132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632311680).

421410132 is an abundant number, since it is smaller than the sum of its proper divisors (843213228).

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

421410132 is a wasteful number, since it uses less digits than its factorization.

421410132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 889 counting only the distinct ones).

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

The square root of 421410132 is about 20528.2764011010. The cubic root of 421410132 is about 749.7244214210.

Adding to 421410132 its reverse (231014124), we get a palindrome (652424256).

The spelling of 421410132 in words is "four hundred twenty-one million, four hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 109 117 132 143 156 198 218 234 286 327 396 429 436 468 572 654 751 858 981 1199 1287 1308 1417 1502 1716 1962 2253 2398 2574 2834 3004 3597 3924 4251 4506 4796 5148 5668 6759 7194 8261 8502 9012 9763 10791 12753 13518 14388 15587 16522 17004 19526 21582 24783 25506 27036 29289 31174 33044 39052 43164 46761 49566 51012 58578 62348 74349 81859 87867 93522 99132 107393 117156 140283 148698 163718 175734 187044 214786 245577 280566 297396 322179 327436 351468 429572 491154 561132 644358 736731 900449 966537 982308 1064167 1288716 1473462 1800898 1933074 2128334 2701347 2946924 3192501 3601796 3866148 4256668 5402694 6385002 8104041 9577503 10805388 11705837 12770004 16208082 19155006 23411674 32416164 35117511 38310012 46823348 70235022 105352533 140470044 210705066 421410132