Search a number
-
+
1474080 = 25353783
BaseRepresentation
bin101100111111000100000
32202220001120
411213320200
5334132310
651332240
715346416
oct5477040
92686046
101474080
11917553
125b1080
133c7c4a
142a52b6
151e1b70
hex167e20

1474080 has 96 divisors (see below), whose sum is σ = 4826304. Its totient is φ = 377856.

The previous prime is 1474079. The next prime is 1474097. The reversal of 1474080 is 804741.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1474080.

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, 17719 + ... + 17801.

It is an arithmetic number, because the mean of its divisors is an integer number (50274).

21474080 is an apocalyptic number.

1474080 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 1474080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413152).

1474080 is an abundant number, since it is smaller than the sum of its proper divisors (3352224).

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

1474080 is a wasteful number, since it uses less digits than its factorization.

1474080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 1474080 is about 1214.1169630641. The cubic root of 1474080 is about 113.8082340794.

The spelling of 1474080 in words is "one million, four hundred seventy-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 83 96 111 120 148 160 166 185 222 240 249 296 332 370 415 444 480 498 555 592 664 740 830 888 996 1110 1184 1245 1328 1480 1660 1776 1992 2220 2490 2656 2960 3071 3320 3552 3984 4440 4980 5920 6142 6640 7968 8880 9213 9960 12284 13280 15355 17760 18426 19920 24568 30710 36852 39840 46065 49136 61420 73704 92130 98272 122840 147408 184260 245680 294816 368520 491360 737040 1474080