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661373400 = 233522234943
BaseRepresentation
bin100111011010111…
…100000111011000
31201002111020202010
4213122330013120
52323302422100
6145343305520
722250403222
oct4732740730
91632436663
10661373400
1130a367696
121655ab2a0
13a7036a0c
1463ba1412
153d0e2750
hex276bc1d8

661373400 has 96 divisors (see below), whose sum is σ = 2059868160. Its totient is φ = 175539840.

The previous prime is 661373399. The next prime is 661373429. The reversal of 661373400 is 4373166.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 131329 + ... + 136271.

It is an arithmetic number, because the mean of its divisors is an integer number (21456960).

Almost surely, 2661373400 is an apocalyptic number.

661373400 is a gapful number since it is divisible by the number (60) 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 661373400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029934080).

661373400 is an abundant number, since it is smaller than the sum of its proper divisors (1398494760).

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

661373400 is a wasteful number, since it uses less digits than its factorization.

661373400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5185 (or 5176 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 661373400 is about 25717.1810274766. The cubic root of 661373400 is about 871.2622712823.

The spelling of 661373400 in words is "six hundred sixty-one million, three hundred seventy-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 223 300 446 600 669 892 1115 1338 1784 2230 2676 3345 4460 4943 5352 5575 6690 8920 9886 11150 13380 14829 16725 19772 22300 24715 26760 29658 33450 39544 44600 49430 59316 66900 74145 98860 118632 123575 133800 148290 197720 247150 296580 370725 494300 593160 741450 988600 1102289 1482900 2204578 2965800 3306867 4409156 5511445 6613734 8818312 11022890 13227468 16534335 22045780 26454936 27557225 33068670 44091560 55114450 66137340 82671675 110228900 132274680 165343350 220457800 330686700 661373400