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70407040 = 2751173137
BaseRepresentation
bin1000011001001…
…01001110000000
311220111001022011
410030211032000
5121011011130
610553022304
71513310224
oct414451600
9156431264
1070407040
1136819940
121b6b4994
1311781b92
1494ca784
1562ab52a
hex4325380

70407040 has 128 divisors (see below), whose sum is σ = 187492320. Its totient is φ = 25067520.

The previous prime is 70407037. The next prime is 70407049. The reversal of 70407040 is 4070407.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70407049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513852 + ... + 513988.

Almost surely, 270407040 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 70407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93746160).

70407040 is an abundant number, since it is smaller than the sum of its proper divisors (117085280).

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

70407040 is a wasteful number, since it uses less digits than its factorization.

70407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 70407040 is about 8390.8902984129. The cubic root of 70407040 is about 412.9258094587.

Adding to 70407040 its reverse (4070407), we get a palindrome (74477447).

The spelling of 70407040 in words is "seventy million, four hundred seven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 73 80 88 110 128 137 146 160 176 220 274 292 320 352 365 440 548 584 640 685 704 730 803 880 1096 1168 1370 1408 1460 1507 1606 1760 2192 2336 2740 2920 3014 3212 3520 4015 4384 4672 5480 5840 6028 6424 7040 7535 8030 8768 9344 10001 10960 11680 12056 12848 15070 16060 17536 20002 21920 23360 24112 25696 30140 32120 40004 43840 46720 48224 50005 51392 60280 64240 80008 87680 96448 100010 102784 110011 120560 128480 160016 192896 200020 220022 241120 256960 320032 400040 440044 482240 513920 550055 640064 800080 880088 964480 1100110 1280128 1600160 1760176 2200220 3200320 3520352 4400440 6400640 7040704 8800880 14081408 17601760 35203520 70407040