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90421440 = 2635131719
BaseRepresentation
bin1010110001110…
…11100011000000
320022010212220020
411120323203000
5141121441230
612550013440
72145366234
oct530734300
9208125806
1090421440
1147049a6a
1226347280
131596ba15
14c01a5c4
157e11810
hex563b8c0

90421440 has 112 divisors (see below), whose sum is σ = 289681920. Its totient is φ = 23895040.

The previous prime is 90421439. The next prime is 90421447. The reversal of 90421440 is 4412409.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 90421440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90421447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125401 + ... + 126119.

Almost surely, 290421440 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 90421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144840960).

90421440 is an abundant number, since it is smaller than the sum of its proper divisors (199260480).

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

90421440 is a wasteful number, since it uses less digits than its factorization.

90421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 90421440 is about 9509.0188768348. The cubic root of 90421440 is about 448.8388831370.

Adding to 90421440 its reverse (4412409), we get a palindrome (94833849).

The spelling of 90421440 in words is "ninety million, four hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 131 160 192 240 262 320 393 480 524 655 719 786 960 1048 1310 1438 1572 1965 2096 2157 2620 2876 3144 3595 3930 4192 4314 5240 5752 6288 7190 7860 8384 8628 10480 10785 11504 12576 14380 15720 17256 20960 21570 23008 25152 28760 31440 34512 41920 43140 46016 57520 62880 69024 86280 94189 115040 125760 138048 172560 188378 230080 282567 345120 376756 470945 565134 690240 753512 941890 1130268 1412835 1507024 1883780 2260536 2825670 3014048 3767560 4521072 5651340 6028096 7535120 9042144 11302680 15070240 18084288 22605360 30140480 45210720 90421440