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70214040 = 23345131667
BaseRepresentation
bin1000010111101…
…10000110011000
311220010020120000
410023312012120
5120433322130
610544533000
71511544441
oct413660630
9156106500
1070214040
11366a7936
121b621160
1311715090
14947a2c8
15626e260
hex42f6198

70214040 has 160 divisors (see below), whose sum is σ = 254303280. Its totient is φ = 17273088.

The previous prime is 70213939. The next prime is 70214041. The reversal of 70214040 is 4041207.

It is a happy number.

It is a super-2 number, since 2×702140402 = 9860022826243200, 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 not an unprimeable number, because it can be changed into a prime (70214041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41287 + ... + 42953.

Almost surely, 270214040 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 70214040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127151640).

70214040 is an abundant number, since it is smaller than the sum of its proper divisors (184089240).

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

70214040 is a wasteful number, since it uses less digits than its factorization.

70214040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1690 counting only the distinct ones).

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

The square root of 70214040 is about 8379.3818387755. The cubic root of 70214040 is about 412.5481596664.

Adding to 70214040 its reverse (4041207), we get a palindrome (74255247).

The spelling of 70214040 in words is "seventy million, two hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 585 648 702 780 810 936 1053 1080 1170 1404 1560 1620 1667 1755 2106 2340 2808 3240 3334 3510 4212 4680 5001 5265 6668 7020 8335 8424 10002 10530 13336 14040 15003 16670 20004 21060 21671 25005 30006 33340 40008 42120 43342 45009 50010 60012 65013 66680 75015 86684 90018 100020 108355 120024 130026 135027 150030 173368 180036 195039 200040 216710 225045 260052 270054 300060 325065 360072 390078 433420 450090 520104 540108 585117 600120 650130 675135 780156 866840 900180 975195 1080216 1170234 1300260 1350270 1560312 1755351 1800360 1950390 2340468 2600520 2700540 2925585 3510702 3900780 4680936 5401080 5851170 7021404 7801560 8776755 11702340 14042808 17553510 23404680 35107020 70214040