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401203920 = 243513128591
BaseRepresentation
bin10111111010011…
…110001011010000
31000221221021022110
4113322132023100
51310202011140
6103451105320
712641114505
oct2772361320
91027837273
10401203920
11196518497
12b2442240
1365173590
143b3d94ac
1525350380
hex17e9e2d0

401203920 has 80 divisors (see below), whose sum is σ = 1339414272. Its totient is φ = 98757120.

The previous prime is 401203897. The next prime is 401203921. The reversal of 401203920 is 29302104.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401203921) 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, 61176 + ... + 67415.

Almost surely, 2401203920 is an apocalyptic number.

401203920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401203920 is an abundant number, since it is smaller than the sum of its proper divisors (938210352).

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

401203920 is a wasteful number, since it uses less digits than its factorization.

401203920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128620 (or 128614 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 401203920 is about 20030.0753867778. The cubic root of 401203920 is about 737.5447725380.

The spelling of 401203920 in words is "four hundred one million, two hundred three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 128591 257182 385773 514364 642955 771546 1028728 1285910 1543092 1671683 1928865 2057456 2571820 3086184 3343366 3857730 5015049 5143640 6172368 6686732 7715460 8358415 10030098 10287280 13373464 15430920 16716830 20060196 25075245 26746928 30861840 33433660 40120392 50150490 66867320 80240784 100300980 133734640 200601960 401203920