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70212240 = 24325713931
BaseRepresentation
bin1000010111101…
…01101010010000
311220010011002100
410023311222100
5120433242430
610544520400
71511536260
oct413655220
9156104070
1070212240
11366a654a
121b620100
1311714307
1494797a0
15626d960
hex42f5a90

70212240 has 120 divisors (see below), whose sum is σ = 269500608. Its totient is φ = 16047360.

The previous prime is 70212187. The next prime is 70212257. The reversal of 70212240 is 4221207.

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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1926 + ... + 12005.

Almost surely, 270212240 is an apocalyptic number.

70212240 is a gapful number since it is divisible by the number (70) 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 70212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134750304).

70212240 is an abundant number, since it is smaller than the sum of its proper divisors (199288368).

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

70212240 is a wasteful number, since it uses less digits than its factorization.

70212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13957 (or 13948 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 70212240 is about 8379.2744315961. The cubic root of 70212240 is about 412.5446342887.

Adding to 70212240 its reverse (4221207), we get a palindrome (74433447).

It can be divided in two parts, 7021 and 2240, that added together give a cube (9261 = 213).

The spelling of 70212240 in words is "seventy million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 13931 27862 41793 55724 69655 83586 97517 111448 125379 139310 167172 195034 208965 222896 250758 278620 292551 334344 390068 417930 487585 501516 557240 585102 626895 668688 780136 835860 877653 975170 1003032 1114480 1170204 1253790 1462755 1560272 1671720 1755306 1950340 2006064 2340408 2507580 2925510 3343440 3510612 3900680 4388265 4680816 5015160 5851020 7021224 7801360 8776530 10030320 11702040 14042448 17553060 23404080 35106120 70212240