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40305870 = 23351141331
BaseRepresentation
bin1001100111000…
…0010011001110
32210211202021000
42121300103032
540304241440
63555521130
7666410553
oct231602316
983752230
1040305870
112082a440
12115b91a6
138472b37
1454d2a2a
153812730
hex26704ce

40305870 has 128 divisors (see below), whose sum is σ = 120476160. Its totient is φ = 9504000.

The previous prime is 40305851. The next prime is 40305871. The reversal of 40305870 is 7850304.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40305871) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121605 + ... + 121935.

It is an arithmetic number, because the mean of its divisors is an integer number (941220).

Almost surely, 240305870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40305870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60238080).

40305870 is an abundant number, since it is smaller than the sum of its proper divisors (80170290).

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

40305870 is a wasteful number, since it uses less digits than its factorization.

40305870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 40305870 is about 6348.6904161410. The cubic root of 40305870 is about 342.8646940301.

The spelling of 40305870 in words is "forty million, three hundred five thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 41 45 54 55 66 82 90 99 110 123 135 165 198 205 246 270 297 330 331 369 410 451 495 594 615 662 738 902 990 993 1107 1230 1353 1485 1655 1845 1986 2214 2255 2706 2970 2979 3310 3641 3690 4059 4510 4965 5535 5958 6765 7282 8118 8937 9930 10923 11070 12177 13530 13571 14895 17874 18205 20295 21846 24354 27142 29790 32769 36410 40590 40713 44685 54615 60885 65538 67855 81426 89370 98307 109230 121770 122139 135710 149281 163845 196614 203565 244278 298562 327690 366417 407130 447843 491535 610695 732834 746405 895686 983070 1221390 1343529 1492810 1832085 2239215 2687058 3664170 4030587 4478430 6717645 8061174 13435290 20152935 40305870