Search a number
-
+
88421120 = 285371867
BaseRepresentation
bin1010100010100…
…11001100000000
320011101020222022
411101103030000
5140113433440
612435101012
72122365344
oct521231400
9204336868
1088421120
1145a03107
1225741768
131541b3b8
14ba59624
157b68cb5
hex5453300

88421120 has 72 divisors (see below), whose sum is σ = 217636944. Its totient is φ = 34394112.

The previous prime is 88421101. The next prime is 88421141. The reversal of 88421120 is 2112488.

It is a self number, because there is not a number n which added to its sum of digits gives 88421120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46427 + ... + 48293.

Almost surely, 288421120 is an apocalyptic number.

88421120 is a gapful number since it is divisible by the number (80) 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 88421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108818472).

88421120 is an abundant number, since it is smaller than the sum of its proper divisors (129215824).

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

88421120 is a wasteful number, since it uses less digits than its factorization.

88421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 88421120 is about 9403.2505018212. The cubic root of 88421120 is about 445.5044063683.

The spelling of 88421120 in words is "eighty-eight million, four hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 592 640 740 1184 1280 1480 1867 2368 2960 3734 4736 5920 7468 9335 9472 11840 14936 18670 23680 29872 37340 47360 59744 69079 74680 119488 138158 149360 238976 276316 298720 345395 477952 552632 597440 690790 1105264 1194880 1381580 2210528 2389760 2763160 4421056 5526320 8842112 11052640 17684224 22105280 44210560 88421120