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1404220080 = 2435192931051
BaseRepresentation
bin101001110110010…
…1011001010110000
310121212021202211010
41103230223022300
510333440020310
6351201150520
746540450044
oct12354531260
93555252733
101404220080
1166071136a
1233232b440
13194bc8573
14d46d0024
158342a320
hex53b2b2b0

1404220080 has 160 divisors (see below), whose sum is σ = 4602205440. Its totient is φ = 353203200.

The previous prime is 1404220063. The next prime is 1404220087. The reversal of 1404220080 is 800224041.

It is not an unprimeable number, because it can be changed into a prime (1404220087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1335555 + ... + 1336605.

It is an arithmetic number, because the mean of its divisors is an integer number (28763784).

Almost surely, 21404220080 is an apocalyptic number.

1404220080 is a gapful number since it is divisible by the number (10) 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 1404220080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301102720).

1404220080 is an abundant number, since it is smaller than the sum of its proper divisors (3197985360).

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

1404220080 is a wasteful number, since it uses less digits than its factorization.

1404220080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1404220080 is about 37472.9246256547. The cubic root of 1404220080 is about 1119.8118518983.

The spelling of 1404220080 in words is "one billion, four hundred four million, two hundred twenty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 293 304 380 456 570 586 760 879 912 1051 1140 1172 1465 1520 1758 2102 2280 2344 2930 3153 3516 4204 4395 4560 4688 5255 5567 5860 6306 7032 8408 8790 10510 11134 11720 12612 14064 15765 16701 16816 17580 19969 21020 22268 23440 25224 27835 31530 33402 35160 39938 42040 44536 50448 55670 59907 63060 66804 70320 79876 83505 84080 89072 99845 111340 119814 126120 133608 159752 167010 199690 222680 239628 252240 267216 299535 307943 319504 334020 399380 445360 479256 599070 615886 668040 798760 923829 958512 1198140 1231772 1336080 1539715 1597520 1847658 2396280 2463544 3079430 3695316 4619145 4792560 4927088 5850917 6158860 7390632 9238290 11701834 12317720 14781264 17552751 18476580 23403668 24635440 29254585 35105502 36953160 46807336 58509170 70211004 73906320 87763755 93614672 117018340 140422008 175527510 234036680 280844016 351055020 468073360 702110040 1404220080