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40632060 = 22357891087
BaseRepresentation
bin1001101011111…
…1111011111100
32211110022201010
42122333323330
540400211220
64010515220
71002236550
oct232777374
984408633
1040632060
1120a32517
1211735b10
138558451
145579860
1538791e0
hex26bfefc

40632060 has 96 divisors (see below), whose sum is σ = 131604480. Its totient is φ = 9174528.

The previous prime is 40632049. The next prime is 40632121. The reversal of 40632060 is 6023604.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36837 + ... + 37923.

It is an arithmetic number, because the mean of its divisors is an integer number (1370880).

Almost surely, 240632060 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 40632060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65802240).

40632060 is an abundant number, since it is smaller than the sum of its proper divisors (90972420).

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

40632060 is a wasteful number, since it uses less digits than its factorization.

40632060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 40632060 is about 6374.3281998968. The cubic root of 40632060 is about 343.7871294329.

Adding to 40632060 its reverse (6023604), we get a palindrome (46655664).

The spelling of 40632060 in words is "forty million, six hundred thirty-two thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 89 105 140 178 210 267 356 420 445 534 623 890 1068 1087 1246 1335 1780 1869 2174 2492 2670 3115 3261 3738 4348 5340 5435 6230 6522 7476 7609 9345 10870 12460 13044 15218 16305 18690 21740 22827 30436 32610 37380 38045 45654 65220 76090 91308 96743 114135 152180 193486 228270 290229 386972 456540 483715 580458 677201 967430 1160916 1354402 1451145 1934860 2031603 2708804 2902290 3386005 4063206 5804580 6772010 8126412 10158015 13544020 20316030 40632060