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70230240 = 253455419
BaseRepresentation
bin1000010111110…
…10000011100000
311220011001210000
410023322003200
5120434331430
610545140000
71511642613
oct413720340
9156131700
1070230240
1136709023
121b62a600
131171c572
14948217a
156273e60
hex42fa0e0

70230240 has 120 divisors (see below), whose sum is σ = 247899960. Its totient is φ = 18724608.

The previous prime is 70230239. The next prime is 70230263. The reversal of 70230240 is 4203207.

It is a happy number.

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

It is a super-2 number, since 2×702302402 = 9864573220915200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10251 + ... + 15669.

It is an arithmetic number, because the mean of its divisors is an integer number (2065833).

Almost surely, 270230240 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 70230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123949980).

70230240 is an abundant number, since it is smaller than the sum of its proper divisors (177669720).

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

70230240 is a wasteful number, since it uses less digits than its factorization.

70230240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5446 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 70230240 is about 8380.3484414432. The cubic root of 70230240 is about 412.5798853547.

Adding to 70230240 its reverse (4203207), we get a palindrome (74433447).

The spelling of 70230240 in words is "seventy million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 5419 6480 10838 12960 16257 21676 27095 32514 43352 48771 54190 65028 81285 86704 97542 108380 130056 146313 162570 173408 195084 216760 243855 260112 292626 325140 390168 433520 438939 487710 520224 585252 650280 731565 780336 867040 877878 975420 1170504 1300560 1463130 1560672 1755756 1950840 2194695 2341008 2601120 2926260 3511512 3901680 4389390 4682016 5852520 7023024 7803360 8778780 11705040 14046048 17557560 23410080 35115120 70230240