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40827930 = 235111331307
BaseRepresentation
bin1001101110111…
…1110000011010
32211211021101120
42123233300122
540422443210
64015030110
71004013603
oct233576032
984737346
1040827930
11210566a0
121180b336
1385c6650
1455cadaa
1538b7270
hex26efc1a

40827930 has 128 divisors (see below), whose sum is σ = 119218176. Its totient is φ = 8812800.

The previous prime is 40827893. The next prime is 40827947. The reversal of 40827930 is 3972804.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 40827891 and 40827900.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132837 + ... + 133143.

It is an arithmetic number, because the mean of its divisors is an integer number (931392).

Almost surely, 240827930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40827930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59609088).

40827930 is an abundant number, since it is smaller than the sum of its proper divisors (78390246).

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

40827930 is a wasteful number, since it uses less digits than its factorization.

40827930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 40827930 is about 6389.6737005891. The cubic root of 40827930 is about 344.3386616620.

The spelling of 40827930 in words is "forty million, eight hundred twenty-seven thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 31 33 39 55 62 65 66 78 93 110 130 143 155 165 186 195 286 307 310 330 341 390 403 429 465 614 682 715 806 858 921 930 1023 1209 1430 1535 1705 1842 2015 2046 2145 2418 3070 3377 3410 3991 4030 4290 4433 4605 5115 6045 6754 7982 8866 9210 9517 10131 10230 11973 12090 13299 16885 19034 19955 20262 22165 23946 26598 28551 33770 39910 43901 44330 47585 50655 57102 59865 66495 87802 95170 101310 104687 119730 123721 131703 132990 142755 209374 219505 247442 263406 285510 314061 371163 439010 523435 618605 628122 658515 742326 1046870 1237210 1317030 1360931 1570305 1855815 2721862 3140610 3711630 4082793 6804655 8165586 13609310 20413965 40827930