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70416984 = 233112311597
BaseRepresentation
bin1000011001001…
…11101001011000
311220111112221110
410030213221120
5121011320414
610553140320
71513351221
oct414475130
9156445843
1070416984
1136826360
121b6ba6a0
1311786571
1494d0248
1562ae459
hex4327a58

70416984 has 64 divisors (see below), whose sum is σ = 200413440. Its totient is φ = 20408960.

The previous prime is 70416979. The next prime is 70417003. The reversal of 70416984 is 48961407.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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, 274 + ... + 11870.

It is an arithmetic number, because the mean of its divisors is an integer number (3131460).

Almost surely, 270416984 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 70416984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100206720).

70416984 is an abundant number, since it is smaller than the sum of its proper divisors (129996456).

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

70416984 is a wasteful number, since it uses less digits than its factorization.

70416984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11640 (or 11636 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 70416984 is about 8391.4828248647. The cubic root of 70416984 is about 412.9452485230.

The spelling of 70416984 in words is "seventy million, four hundred sixteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 2024 3036 6072 11597 23194 34791 46388 69582 92776 127567 139164 255134 266731 278328 382701 510268 533462 765402 800193 1020536 1066924 1530804 1600386 2133848 2934041 3061608 3200772 5868082 6401544 8802123 11736164 17604246 23472328 35208492 70416984