Search a number
-
+
1472115420 = 2232571127907
BaseRepresentation
bin101011110111110…
…1011001011011100
310210121001012201100
41113233223023130
511003330143140
6402024313100
751323526456
oct12757531334
93717035640
101472115420
11695a75116
12351012790
131a5cab119
14dd7252d6
158938c530
hex57beb2dc

1472115420 has 144 divisors (see below), whose sum is σ = 4568997888. Its totient is φ = 383564160.

The previous prime is 1472115397. The next prime is 1472115427. The reversal of 1472115420 is 245112741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1472115427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1622607 + ... + 1623513.

It is an arithmetic number, because the mean of its divisors is an integer number (31729152).

Almost surely, 21472115420 is an apocalyptic number.

1472115420 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 1472115420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284498944).

1472115420 is an abundant number, since it is smaller than the sum of its proper divisors (3096882468).

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

1472115420 is a wasteful number, since it uses less digits than its factorization.

1472115420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1472115420 is about 38368.1563278717. The cubic root of 1472115420 is about 1137.5765229685.

The spelling of 1472115420 in words is "one billion, four hundred seventy-two million, one hundred fifteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 127 142 180 213 254 284 355 381 426 508 635 639 710 762 852 907 1065 1143 1270 1278 1420 1524 1814 1905 2130 2286 2540 2556 2721 3195 3628 3810 4260 4535 4572 5442 5715 6390 7620 8163 9017 9070 10884 11430 12780 13605 16326 18034 18140 22860 27051 27210 32652 36068 40815 45085 54102 54420 64397 81153 81630 90170 108204 115189 128794 135255 162306 163260 180340 193191 230378 257588 270510 321985 324612 345567 386382 405765 460756 541020 575945 579573 643970 691134 772764 811530 965955 1036701 1151890 1159146 1287940 1382268 1623060 1727835 1931910 2073402 2303780 2318292 2897865 3455670 3863820 4146804 5183505 5795730 6911340 8178419 10367010 11591460 16356838 20734020 24535257 32713676 40892095 49070514 73605771 81784190 98141028 122676285 147211542 163568380 245352570 294423084 368028855 490705140 736057710 1472115420