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4020422240 = 255313172557
BaseRepresentation
bin1110111110100010…
…1100011001100000
3101101012010121111102
43233220230121200
531213212002430
61502535333532
7201426011432
oct35750543140
911335117442
104020422240
11178347280a
129425212a8
134c0c22093
142a1d4c652
15187e5b345
hexefa2c660

4020422240 has 96 divisors (see below), whose sum is σ = 9839418624. Its totient is φ = 1550776320.

The previous prime is 4020422227. The next prime is 4020422267. The reversal of 4020422240 is 422240204.

4020422240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1571042 + ... + 1573598.

It is an arithmetic number, because the mean of its divisors is an integer number (102493944).

Almost surely, 24020422240 is an apocalyptic number.

4020422240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4020422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4919709312).

4020422240 is an abundant number, since it is smaller than the sum of its proper divisors (5818996384).

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

4020422240 is a wasteful number, since it uses less digits than its factorization.

4020422240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4020422240 is about 63406.7996353703. The cubic root of 4020422240 is about 1590.0979911391.

Adding to 4020422240 its reverse (422240204), we get a palindrome (4442662444).

The spelling of 4020422240 in words is "four billion, twenty million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 317 496 620 634 992 1240 1268 1585 2480 2536 2557 3170 4960 5072 5114 6340 9827 10144 10228 12680 12785 19654 20456 25360 25570 39308 40912 49135 50720 51140 78616 79267 81824 98270 102280 157232 158534 196540 204560 314464 317068 393080 396335 409120 634136 786160 792670 810569 1268272 1572320 1585340 1621138 2536544 3170680 3242276 4052845 6341360 6484552 8105690 12682720 12969104 16211380 25127639 25938208 32422760 50255278 64845520 100510556 125638195 129691040 201021112 251276390 402042224 502552780 804084448 1005105560 2010211120 4020422240