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40700128 = 2571973131
BaseRepresentation
bin1001101101000…
…0100011100000
32211120210002011
42123100203200
540404401003
64012202304
71002642160
oct233204340
984523064
1040700128
1120a79677
1211769394
138580421
1455965a0
15388e46d
hex26d08e0

40700128 has 96 divisors (see below), whose sum is σ = 98461440. Its totient is φ = 16174080.

The previous prime is 40700113. The next prime is 40700161. The reversal of 40700128 is 82100704.

It is a junction number, because it is equal to n+sod(n) for n = 40700099 and 40700108.

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, 310623 + ... + 310753.

It is an arithmetic number, because the mean of its divisors is an integer number (1025640).

Almost surely, 240700128 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 40700128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49230720).

40700128 is an abundant number, since it is smaller than the sum of its proper divisors (57761312).

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

40700128 is a wasteful number, since it uses less digits than its factorization.

40700128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 40700128 is about 6379.6651949769. The cubic root of 40700128 is about 343.9789963740.

The spelling of 40700128 in words is "forty million, seven hundred thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 73 76 112 131 133 146 152 224 262 266 292 304 511 524 532 584 608 917 1022 1048 1064 1168 1387 1834 2044 2096 2128 2336 2489 2774 3668 4088 4192 4256 4978 5548 7336 8176 9563 9709 9956 11096 14672 16352 17423 19126 19418 19912 22192 29344 34846 38252 38836 39824 44384 66941 69692 76504 77672 79648 133882 139384 153008 155344 181697 267764 278768 306016 310688 363394 535528 557536 726788 1071056 1271879 1453576 2142112 2543758 2907152 5087516 5814304 10175032 20350064 40700128