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70229376 = 273372903
BaseRepresentation
bin1000010111110…
…01110110000000
311220011000121000
410023321312000
5120434320001
610545132000
71511640240
oct413716600
9156130530
1070229376
1136708408
121b62a000
131171c059
149481b20
156273a86
hex42f9d80

70229376 has 128 divisors (see below), whose sum is σ = 236966400. Its totient is φ = 20058624.

The previous prime is 70229359. The next prime is 70229381. The reversal of 70229376 is 67392207.

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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 70229376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22741 + ... + 25643.

It is an arithmetic number, because the mean of its divisors is an integer number (1851300).

Almost surely, 270229376 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 70229376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118483200).

70229376 is an abundant number, since it is smaller than the sum of its proper divisors (166737024).

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

70229376 is a wasteful number, since it uses less digits than its factorization.

70229376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2933 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 70229376 is about 8380.2968921155. The cubic root of 70229376 is about 412.5781934412.

The spelling of 70229376 in words is "seventy million, two hundred twenty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 2903 3024 3456 4032 5806 6048 8064 8709 11612 12096 17418 20321 23224 24192 26127 34836 40642 46448 52254 60963 69672 78381 81284 92896 104508 121926 139344 156762 162568 182889 185792 209016 243852 278688 313524 325136 365778 371584 418032 487704 548667 557376 627048 650272 731556 836064 975408 1097334 1114752 1254096 1300544 1463112 1672128 1950816 2194668 2508192 2601088 2926224 3344256 3901632 4389336 5016384 5852448 7803264 8778672 10032768 11704896 17557344 23409792 35114688 70229376