Search a number
-
+
40132470 = 23572231187
BaseRepresentation
bin1001100100010…
…1111101110110
32210111221101210
42121011331312
540233214340
63552102250
7665056200
oct231057566
983457353
1040132470
1120721134
1211534986
138411c31
145489770
1537cb180
hex2645f76

40132470 has 96 divisors (see below), whose sum is σ = 117013248. Its totient is φ = 8766912.

The previous prime is 40132439. The next prime is 40132511. The reversal of 40132470 is 7423104.

It is a super-2 number, since 2×401324702 = 3221230296601800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33217 + ... + 34403.

It is an arithmetic number, because the mean of its divisors is an integer number (1218888).

Almost surely, 240132470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40132470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58506624).

40132470 is an abundant number, since it is smaller than the sum of its proper divisors (76880778).

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

40132470 is a wasteful number, since it uses less digits than its factorization.

40132470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 40132470 is about 6335.0193369871. The cubic root of 40132470 is about 342.3723075236.

Adding to 40132470 its reverse (7423104), we get a palindrome (47555574).

The spelling of 40132470 in words is "forty million, one hundred thirty-two thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 49 69 70 98 105 115 138 147 161 210 230 245 294 322 345 483 490 690 735 805 966 1127 1187 1470 1610 2254 2374 2415 3381 3561 4830 5635 5935 6762 7122 8309 11270 11870 16618 16905 17805 24927 27301 33810 35610 41545 49854 54602 58163 81903 83090 116326 124635 136505 163806 174489 191107 249270 273010 290815 348978 382214 409515 573321 581630 819030 872445 955535 1146642 1337749 1744890 1911070 2675498 2866605 4013247 5733210 6688745 8026494 13377490 20066235 40132470