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99374240 = 2557831069
BaseRepresentation
bin1011110110001…
…01010010100000
320220222201211102
411323011102200
5200414433430
613505533532
72314444550
oct573052240
9226881742
1099374240
1151104379
12293442a8
1317784a34
14d2ab160
158ace345
hex5ec54a0

99374240 has 96 divisors (see below), whose sum is σ = 271797120. Its totient is φ = 33629184.

The previous prime is 99374239. The next prime is 99374257. The reversal of 99374240 is 4247399.

It is a junction number, because it is equal to n+sod(n) for n = 99374194 and 99374203.

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, 92426 + ... + 93494.

It is an arithmetic number, because the mean of its divisors is an integer number (2831220).

Almost surely, 299374240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99374240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135898560).

99374240 is an abundant number, since it is smaller than the sum of its proper divisors (172422880).

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

99374240 is a wasteful number, since it uses less digits than its factorization.

99374240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 99374240 is about 9968.6628993060. The cubic root of 99374240 is about 463.1886832875.

The spelling of 99374240 in words is "ninety-nine million, three hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 83 112 140 160 166 224 280 332 415 560 581 664 830 1069 1120 1162 1328 1660 2138 2324 2656 2905 3320 4276 4648 5345 5810 6640 7483 8552 9296 10690 11620 13280 14966 17104 18592 21380 23240 29932 34208 37415 42760 46480 59864 74830 85520 88727 92960 119728 149660 171040 177454 239456 299320 354908 443635 598640 621089 709816 887270 1197280 1242178 1419632 1774540 2484356 2839264 3105445 3549080 4968712 6210890 7098160 9937424 12421780 14196320 19874848 24843560 49687120 99374240