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98140416 = 2831111617
BaseRepresentation
bin1011101100110…
…00000100000000
320211200001100020
411312120010000
5200110443131
613423253440
72301115443
oct566300400
9224601306
1098140416
1150441390
1228a4a280
131744226a
14d06965a
158938996
hex5d98100

98140416 has 72 divisors (see below), whose sum is σ = 284966304. Its totient is φ = 29736960.

The previous prime is 98140381. The next prime is 98140417. The reversal of 98140416 is 61404189.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (98140417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2640 + ... + 14256.

Almost surely, 298140416 is an apocalyptic number.

98140416 is a gapful number since it is divisible by the number (96) 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 98140416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142483152).

98140416 is an abundant number, since it is smaller than the sum of its proper divisors (186825888).

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

98140416 is a wasteful number, since it uses less digits than its factorization.

98140416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11647 (or 11633 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 98140416 is about 9906.5844770032. The cubic root of 98140416 is about 461.2637210686.

The spelling of 98140416 in words is "ninety-eight million, one hundred forty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 11617 23234 34851 46468 69702 92936 127787 139404 185872 255574 278808 371744 383361 511148 557616 743488 766722 1022296 1115232 1486976 1533444 2044592 2230464 2973952 3066888 4089184 4460928 6133776 8178368 8921856 12267552 16356736 24535104 32713472 49070208 98140416