Search a number
-
+
40088880 = 24325134283
BaseRepresentation
bin1001100011101…
…1010100110000
32210102201121100
42120323110300
540230321010
63551124400
7664515126
oct230732460
983381540
1040088880
11206a1407
1211513700
1383c8140
145477916
1537bd2c0
hex263b530

40088880 has 120 divisors (see below), whose sum is σ = 145021968. Its totient is φ = 9865728.

The previous prime is 40088869. The next prime is 40088887. The reversal of 40088880 is 8888004.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (40088887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7219 + ... + 11501.

Almost surely, 240088880 is an apocalyptic number.

40088880 is a gapful number since it is divisible by the number (40) 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 40088880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72510984).

40088880 is an abundant number, since it is smaller than the sum of its proper divisors (104933088).

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

40088880 is a wasteful number, since it uses less digits than its factorization.

40088880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4315 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 40088880 is about 6331.5780023624. The cubic root of 40088880 is about 342.2483063893.

The spelling of 40088880 in words is "forty million, eighty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4283 4680 8566 9360 12849 17132 21415 25698 34264 38547 42830 51396 55679 64245 68528 77094 85660 102792 111358 128490 154188 167037 171320 192735 205584 222716 256980 278395 308376 334074 342640 385470 445432 501111 513960 556790 616752 668148 770940 835185 890864 1002222 1027920 1113580 1336296 1541880 1670370 2004444 2227160 2505555 2672592 3083760 3340740 4008888 4454320 5011110 6681480 8017776 10022220 13362960 20044440 40088880