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94380840 = 23325409641
BaseRepresentation
bin1011010000000…
…10001100101000
320120121001011200
411220002030220
5143130141330
613210524200
72224136541
oct550021450
9216531150
1094380840
11493037a4
1227736660
1316726c68
14c76b4c8
158444a60
hex5a02328

94380840 has 96 divisors (see below), whose sum is σ = 307967400. Its totient is φ = 25067520.

The previous prime is 94380827. The next prime is 94380859. The reversal of 94380840 is 4808349.

It can be written as a sum of positive squares in 4 ways, for example, as 94361796 + 19044 = 9714^2 + 138^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 94380795 and 94380804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146920 + ... + 147560.

Almost surely, 294380840 is an apocalyptic number.

94380840 is a gapful number since it is divisible by the number (90) 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 94380840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153983700).

94380840 is an abundant number, since it is smaller than the sum of its proper divisors (213586560).

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

94380840 is a wasteful number, since it uses less digits than its factorization.

94380840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 94380840 is about 9714.9801852603. The cubic root of 94380840 is about 455.2968155506.

The spelling of 94380840 in words is "ninety-four million, three hundred eighty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 409 641 818 1227 1282 1636 1923 2045 2454 2564 3205 3272 3681 3846 4090 4908 5128 5769 6135 6410 7362 7692 8180 9615 9816 11538 12270 12820 14724 15384 16360 18405 19230 23076 24540 25640 28845 29448 36810 38460 46152 49080 57690 73620 76920 115380 147240 230760 262169 524338 786507 1048676 1310845 1573014 2097352 2359521 2621690 3146028 3932535 4719042 5243380 6292056 7865070 9438084 10486760 11797605 15730140 18876168 23595210 31460280 47190420 94380840