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70320400 = 24523153107
BaseRepresentation
bin1000011000100…
…00000100010000
311220022122110021
410030100010100
5121000223100
610551113224
71512466513
oct414200420
9156278407
1070320400
113676a837
121b672814
1311751607
1494a6d7a
156290a1a
hex4310110

70320400 has 120 divisors (see below), whose sum is σ = 179345664. Its totient is φ = 26457600.

The previous prime is 70320379. The next prime is 70320421. The reversal of 70320400 is 402307.

It is an interprime number because it is at equal distance from previous prime (70320379) and next prime (70320421).

It is a super-4 number, since 4×703204004 (a number of 32 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 657147 + ... + 657253.

Almost surely, 270320400 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 70320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89672832).

70320400 is an abundant number, since it is smaller than the sum of its proper divisors (109025264).

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

70320400 is a wasteful number, since it uses less digits than its factorization.

70320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 70320400 is about 8385.7259673805. The cubic root of 70320400 is about 412.7563634442.

Adding to 70320400 its reverse (402307), we get a palindrome (70722707).

The spelling of 70320400 in words is "seventy million, three hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 53 62 80 100 106 107 124 155 200 212 214 248 265 310 400 424 428 496 530 535 620 775 848 856 1060 1070 1240 1325 1550 1643 1712 2120 2140 2480 2650 2675 3100 3286 3317 4240 4280 5300 5350 5671 6200 6572 6634 8215 8560 10600 10700 11342 12400 13144 13268 16430 16585 21200 21400 22684 26288 26536 28355 32860 33170 41075 42800 45368 53072 56710 65720 66340 82150 82925 90736 113420 131440 132680 141775 164300 165850 175801 226840 265360 283550 328600 331700 351602 453680 567100 657200 663400 703204 879005 1134200 1326800 1406408 1758010 2268400 2812816 3516020 4395025 7032040 8790050 14064080 17580100 35160200 70320400