Search a number
-
+
69807420 = 22345411051
BaseRepresentation
bin1000010100100…
…10110100111100
311212100120210000
410022102310330
5120332314140
610532114300
71505232114
oct412226474
9155316700
1069807420
113644a391
121b465990
1311601c87
1493b2044
1561dda30
hex4292d3c

69807420 has 120 divisors (see below), whose sum is σ = 224543088. Its totient is φ = 18144000.

The previous prime is 69807401. The next prime is 69807421. The reversal of 69807420 is 2470896.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69807421) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65895 + ... + 66945.

Almost surely, 269807420 is an apocalyptic number.

69807420 is a gapful number since it is divisible by the number (60) 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 69807420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112271544).

69807420 is an abundant number, since it is smaller than the sum of its proper divisors (154735668).

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

69807420 is a wasteful number, since it uses less digits than its factorization.

69807420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 69807420 is about 8355.0834825273. The cubic root of 69807420 is about 411.7502413726.

It can be divided in two parts, 6980 and 7420, that added together give a square (14400 = 1202).

The spelling of 69807420 in words is "sixty-nine million, eight hundred seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 81 82 90 108 123 135 162 164 180 205 246 270 324 369 405 410 492 540 615 738 810 820 1051 1107 1230 1476 1620 1845 2102 2214 2460 3153 3321 3690 4204 4428 5255 5535 6306 6642 7380 9459 10510 11070 12612 13284 15765 16605 18918 21020 22140 28377 31530 33210 37836 43091 47295 56754 63060 66420 85131 86182 94590 113508 129273 141885 170262 172364 189180 215455 258546 283770 340524 387819 425655 430910 517092 567540 646365 775638 851310 861820 1163457 1292730 1551276 1702620 1939095 2326914 2585460 3490371 3878190 4653828 5817285 6980742 7756380 11634570 13961484 17451855 23269140 34903710 69807420