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4054512320 = 265311133617
BaseRepresentation
bin1111000110101010…
…1111001011000000
3101110120021120021222
43301222233023000
531300423343240
61510154134212
7202321533425
oct36152571300
911416246258
104054512320
1117a0737131
12951a21368
134c7cc9921
142a66a3d4c
1518ae41eb5
hexf1aaf2c0

4054512320 has 112 divisors (see below), whose sum is σ = 10057229568. Its totient is φ = 1555169280.

The previous prime is 4054512317. The next prime is 4054512323. The reversal of 4054512320 is 232154504.

It is a happy number.

4054512320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4054512317) and next prime (4054512323).

It is a self number, because there is not a number n which added to its sum of digits gives 4054512320.

It is not an unprimeable number, because it can be changed into a prime (4054512323) 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, 1119152 + ... + 1122768.

Almost surely, 24054512320 is an apocalyptic number.

4054512320 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 4054512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5028614784).

4054512320 is an abundant number, since it is smaller than the sum of its proper divisors (6002717248).

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

4054512320 is a wasteful number, since it uses less digits than its factorization.

4054512320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3778 (or 3768 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 4054512320 is about 63675.0525716312. The cubic root of 4054512320 is about 1594.5796162193.

Adding to 4054512320 its reverse (232154504), we get a palindrome (4286666824).

The spelling of 4054512320 in words is "four billion, fifty-four million, five hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 113 124 155 160 226 248 310 320 452 496 565 620 904 992 1130 1240 1808 1984 2260 2480 3503 3616 3617 4520 4960 7006 7232 7234 9040 9920 14012 14468 17515 18080 18085 28024 28936 35030 36160 36170 56048 57872 70060 72340 112096 112127 115744 140120 144680 224192 224254 231488 280240 289360 408721 448508 560480 560635 578720 817442 897016 1120960 1121270 1157440 1634884 1794032 2043605 2242540 3269768 3588064 4087210 4485080 6539536 7176128 8174420 8970160 12670351 13079072 16348840 17940320 25340702 26158144 32697680 35880640 50681404 63351755 65395360 101362808 126703510 130790720 202725616 253407020 405451232 506814040 810902464 1013628080 2027256160 4054512320