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90399720 = 233519311279
BaseRepresentation
bin1010110001101…
…10001111101000
320022002210002210
411120312033220
5141120242340
612545325120
72145246015
oct530661750
9208083083
1090399720
1147034714
12263367a0
1315961b78
14c01270c
157e0a180
hex56363e8

90399720 has 128 divisors (see below), whose sum is σ = 294912000. Its totient is φ = 22083840.

The previous prime is 90399713. The next prime is 90399731. The reversal of 90399720 is 2799309.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70041 + ... + 71319.

It is an arithmetic number, because the mean of its divisors is an integer number (2304000).

Almost surely, 290399720 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 90399720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147456000).

90399720 is an abundant number, since it is smaller than the sum of its proper divisors (204512280).

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

90399720 is a wasteful number, since it uses less digits than its factorization.

90399720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 39.

The square root of 90399720 is about 9507.8767345817. The cubic root of 90399720 is about 448.8029419515.

It can be divided in two parts, 90399 and 720, that added together give a palindrome (91119).

The spelling of 90399720 in words is "ninety million, three hundred ninety-nine thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 31 38 40 57 60 62 76 93 95 114 120 124 152 155 186 190 228 248 285 310 372 380 456 465 570 589 620 744 760 930 1140 1178 1240 1279 1767 1860 2280 2356 2558 2945 3534 3720 3837 4712 5116 5890 6395 7068 7674 8835 10232 11780 12790 14136 15348 17670 19185 23560 24301 25580 30696 35340 38370 39649 48602 51160 70680 72903 76740 79298 97204 118947 121505 145806 153480 158596 194408 198245 237894 243010 291612 317192 364515 396490 475788 486020 583224 594735 729030 753331 792980 951576 972040 1189470 1458060 1506662 1585960 2259993 2378940 2916120 3013324 3766655 4519986 4757880 6026648 7533310 9039972 11299965 15066620 18079944 22599930 30133240 45199860 90399720