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55140736 = 277194179
BaseRepresentation
bin1101001001011…
…0000110000000
310211202102212111
43102112012000
5103104000421
65245505104
71236455110
oct322260600
9124672774
1055140736
1129142062
1216572194
13b568271
147475040
154c92ee1
hex3496180

55140736 has 128 divisors (see below), whose sum is σ = 137088000. Its totient is φ = 21565440.

The previous prime is 55140731. The next prime is 55140737. The reversal of 55140736 is 63704155.

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

It is a junction number, because it is equal to n+sod(n) for n = 55140698 and 55140707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55140731) 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, 697945 + ... + 698023.

It is an arithmetic number, because the mean of its divisors is an integer number (1071000).

Almost surely, 255140736 is an apocalyptic number.

55140736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55140736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68544000).

55140736 is an abundant number, since it is smaller than the sum of its proper divisors (81947264).

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

55140736 is a wasteful number, since it uses less digits than its factorization.

55140736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 55140736 is about 7425.6808442055. The cubic root of 55140736 is about 380.6193408994.

The spelling of 55140736 in words is "fifty-five million, one hundred forty thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 41 56 64 76 79 82 112 128 133 152 158 164 224 266 287 304 316 328 448 532 553 574 608 632 656 779 896 1064 1106 1148 1216 1264 1312 1501 1558 2128 2212 2296 2432 2528 2624 3002 3116 3239 4256 4424 4592 5056 5248 5453 6004 6232 6478 8512 8848 9184 10112 10507 10906 12008 12464 12956 17024 17696 18368 21014 21812 22673 24016 24928 25912 35392 36736 42028 43624 45346 48032 49856 51824 61541 70784 84056 87248 90692 96064 99712 103648 123082 168112 174496 181384 192128 207296 246164 336224 348992 362768 414592 430787 492328 672448 697984 725536 861574 984656 1344896 1451072 1723148 1969312 2902144 3446296 3938624 6892592 7877248 13785184 27570368 55140736