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70133760 = 211325761
BaseRepresentation
bin1000010111000…
…10100000000000
311212222011102200
410023202200000
5120423240020
610543113200
71511061414
oct413424000
9155864380
1070133760
1136652594
121b5a2800
13116b7688
149458d44
156255590
hex42e2800

70133760 has 144 divisors (see below), whose sum is σ = 243390420. Its totient is φ = 18677760.

The previous prime is 70133747. The next prime is 70133783. The reversal of 70133760 is 6733107.

It can be written as a sum of positive squares in 2 ways, for example, as 57517056 + 12616704 = 7584^2 + 3552^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91780 + ... + 92540.

Almost surely, 270133760 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 70133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121695210).

70133760 is an abundant number, since it is smaller than the sum of its proper divisors (173256660).

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

70133760 is a wasteful number, since it uses less digits than its factorization.

70133760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 70133760 is about 8374.5901392247. The cubic root of 70133760 is about 412.3908692026.

Adding to 70133760 its reverse (6733107), we get a palindrome (76866867).

The spelling of 70133760 in words is "seventy million, one hundred thirty-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 761 768 960 1024 1152 1280 1440 1522 1536 1920 2048 2283 2304 2560 2880 3044 3072 3805 3840 4566 4608 5120 5760 6088 6144 6849 7610 7680 9132 9216 10240 11415 11520 12176 13698 15220 15360 18264 18432 22830 23040 24352 27396 30440 30720 34245 36528 45660 46080 48704 54792 60880 68490 73056 91320 92160 97408 109584 121760 136980 146112 182640 194816 219168 243520 273960 292224 365280 389632 438336 487040 547920 584448 730560 779264 876672 974080 1095840 1168896 1461120 1558528 1753344 1948160 2191680 2337792 2922240 3506688 3896320 4383360 4675584 5844480 7013376 7792640 8766720 11688960 14026752 17533440 23377920 35066880 70133760